No, to the best of my knowledge, places like Home Depot would only carry the horticultural diatomaceous earth, which is not the safest thing to use with your birds. You need "food grade" DE. Sometimes your feed supplier will have it. If not, you may have to search for it online.
But....my advice is to deal with one thing at a time. Once you have bugs, the DE will do little good. It's best as a preventative. So, treat your birds and surroundings with the Sevin or something similar to eliminate the infestations. When your birds are no longer infected, then you can concentrate on finding the DE to help prevent any future problems. It's easy to become overwhelmed when facing a problem like this. You'll have less stress if you stay focused on just eliminating the bugs you have now and worry about future bugs later.
BTW, you may be able to find the Sevin dust at Home depot. Don't let the warning labels or the "OMG! Don't use chemicals!" crowd scare you. I've used Sevin on my birds and even on my vegetable garden for many years with no ill effects to my birds, me or my family. It's cheap, it works, and works quickly.