I read the question more as "Does what I want exist here?" rather than "Is the stuff here going to be good enough quality?" So my answer was initially in that light. OP shows in comment that what was really wanted was the latter, "Is the stuff here going to be good enough quality?" Scroll down below the horizontal line for the original answer, which I left because I think it is still very useful here.
I have a common answer to questions of this type, and that is that you can do almost anything with lots of different materials. The materials might not be perfect for what you want, but that just means you have to try harder.
In your comment you write
"if I find clay in the Adirondacks (southern central), is it safe to
say it's suitable for cob or daub? Same with sand? I can identify what
areas have sand and clay in the soils but am not sure if all sands and
clays are usable in this way."
I would say yes, as you don't technically even need the clay and sand. My daughter once made a wall out of just dirt. She got it very wet, molded it into the shape she wanted, and let it sun dry. She layered it up over time so that she was building on a somewhat hard surface as opposed to having a sloppy muddy mixture from top to bottom all at once.
Given that, I would say that whatever clay and/or sand you find should work since it is not strictly necessary but merely makes the end product better. A simple mud-on-stick structure will require maintenance much more often. A nicer mud + aggregate + binder mixture on a stick base will just be stronger, less susceptible to water damage (though it will probably still happen), last longer, and therefore require less maintenance.
The question then becomes what kind of trade off do you want between initial complexity and effort to future maintenance requirement. Personally, I would gather the best resources I could for the bottom of the wall so make a better foundation but would then switch to simpler mud above that, and I would put more effort into the roof to guarantee the water sheds well to keep the indoor dry and the higher mud-only portion of the wall dry. If the mud gets wet, it can weaken drastically.
Also, you can include rocks to improve structural integrity even more, either as a foundation, and/or within the wall itself.
The simple answer to this is "Yes, it will work since it's not even necessary in the first place."
If you want to go the extra mile and make sure your clay is better quality for holding together better and shedding water better, you can process it. I won't go into deep detail, as that would be a matter for a different question, but you can use water to separate the larger particles from the smaller ones, and keep the smaller particles to make better quality clay. Doing this, you can even create pottery-grade clay out of very clay-poor soil. There are articles and videos online of this if you search for making clay from dirt.
Original answer, to "Does what I want exist here?"...
Yes and no.
The area in question is quite extensive and conditions will vary from one area to the next
Soil composition can change a lot between two points in the same area, and the Adirondacks is a huge enough area that you will encounter many different types of ground. In fact, I know of one spot (admittedly, not quite within the borders of the Adirondacks, but still in the same broader region within the nation) where the woods abruptly stop and give way to an area of sand, and further the sand abruptly stops again in another hard line which gives way to a flat field (which I happen to know does have soil with a very high clay content). That is a more drastic example, but still, it makes a point.
So that provides the first reason for my "yes and no": some areas will meet your criteria and some will not.
Practically no, because you can't use it how you want
The other reason is probably more important. I am going to assume you are talking about public lands, as if it was your own private land or that of a friend or family member, you could just ask them.
Even if the answer is technically yes, it will still likely be practically no as far as you are concerned, as much of the Adirondacks is a public area with rules and regulations which include adherence to the "Leave no Trace" guidelines.
See the NY Department of Environmental Conservation page here:
Rules and guidelines for the use of public lands managed by DEC are
generally as follows:
[...]
- Carry out what you carry in. Practice "leave no trace" camping and hiking.
See also "Leave no Trace: Tips for the Adirondack Park"
And there are many other pages about the Adirondacks with rules and guidelines about specific areas within it, and I think I generally see "Practice leave no trace" on all of them.
If you build stuff out of the dirt and/or clay, especially a structure, you will definitely be violating the guidelines. Even if you merely dig the area up and mess up the ground, basically any more than necessary for your waste catholes, you are still violating leave no trace.
Park stewards do come out and check on things: when I made an unplanned camp one time another hiker alerted the local steward about it (the other hiker was concerned for our safety when they learned we had planned a day-trip, despite my insistence that we were fine), and the steward came in to make sure I was safe and also that I was not violating any rules... I got a 5-10 minute lecture about park guidelines, and I think she mentioned leave no trace as well.
The simple answer is "Yes"
From personal experience, when I have engaged in activities similar to what you describe, I had to do it on private land. That is how I know there is very (very) clay-rich soil to the west of the Adirondacks, on the private land I was on. In some places, I could go down less than a foot and hit large deposits of clay almost everywhere I dug, high enough quality that it would only need a small amount of processing to be pottery-capable.
Directly within the Adirondacks (as opposed to nearby but outside of it, where I have dug), we have from the paper Soils and Soil Acidification in the Adirondack Mountains:
The E-horizon is usually sandy, wavy, sometimes discontinuous, and
consists mostly of resistant, uncoated quartz grains and little else.
In the Adirondacks, however, clay minerals are also found here as they
form from the intense weathering of silicate minerals that were once
present in this horizon (April et al. 1986a).
And a snippet from the graphic under that paragraph in the paper:
...but still no.
Even if there is clay in the area you are in, there is likely no clay for you.