From what I've seen, these antibody tests are pretty darned simple. Anybody could do one at home and avoid all the risk of going into a medical setting:

1. wipe finger with alcohol swab
2. prick finger with the little pokie thing
3. pull blood up into capillary tube
4. put one drop of blood in test well, or one drop in each if there are two wells
5. wait 15 minutes
6. look at blue bars on test

I don't see why anybody needs a doctor, nurse, or tech to do that other than they may enter the results in your medical record. These tests are not perfect but even the worst are about 3 times better than the PCR test for the virus!