you just go to a bank and show your documents in person. they're not gonna scan or copy anything this way.
https://www.ncua.gov/files/regulatory-alerts/RA2005-05Encl.pdf2. Can a bank keep copies of documents provided to verify a customers identity, in
addition to the description required under 31 C.F.R. § 103.121(b)(3)(i)(B), even if it is
not required to do so?
Yes, a bank may keep copies of identifying documents that it uses to verify a customers
identity.
I think it's safe to assume that some banks do keep scans. It's been ages since I opened an account, but I'm pretty sure they made photocopies of my ID.