My research indicates that the answer is no.
Chicago Exotics Animal Hospital says:
lead, zinc, copper, mercury and iron cause metal toxicosis if ingested
by birds.........................CAGES should be made of safe metal
with non-toxic paint,............... Stainless steel is the safest
metal.
According to the US Geological Survey:
There are three commonly used type of bird bands. The lock-on type is used for birds with very strong beaks such as hawks and owls and
The band is made of relatively soft aluminum and can be removed by the
bander, but not by the bird.
and
Rivet bands are made of harder metal than the lock-on band (but not
stainless steel) and are used on eagles.
The most commonly used band is the butt-end-band, and the source does not say what metal is used for this band ... but its picture looks like aluminum. Bird bands come in many sizes, from hummingbird-sized to trumpeter swan sized
ParrotForums.com says:
Aluminum isn't toxic to birds. The only aluminum product that should
be watched for is aluminum foil as it contains tin (toxic to birds).