Carrying perishable foods is not practical, but it is doable. The only way to do it though is to keep your food cooled, and the easiest way to do that, when it's hot out, is to carry a cooler, which I have definitely gone backpacking with before:
There are such things as solar powered coolers, which can keep your food cool without the necessity of carrying ice, or stopping at cool creeks to refill bottles in your cooler with cold water. You can also pick up soft coolers, which are essentially insulated bags.
The trick is to keep the food cold as long as possible, ideally you want to keep your food below 4°C, anything above 4°C has the potential for bacteria growth, so it's best to freeze everything that can be frozen (I even put the cooler in the deepfreeze for a night to maximize how long it stays cold) and pack the cooler full, as an empty cooler doesn't stay cool as long as a full one. You don't have to pack it full of food, but if you have any space left, you could shove your clothes or a towel in there in a bag to take up the space and help insulate. Also consider keeping a small thermometer in the cooler, and give it a quick check whenever you need to open it, make sure your food is always below 4°C if you're packing things like meat. Once everything thaws out, you're not going to be able to keep it cool for very long, so plan on eating all your fresh foods on the first couple nights.
In the picture above we were backpacking to a glacier lake, so there was still snow in spots, and the water in the creeks was painfully cold, which made it easy to keep our food cold (hamburgers and veggies, the boys made the meal plan-we ate well on that camp). You just need to have someone in your company who's willing (or foolish enough) to carry the cooler.