We might be able to get them to provide APKs with some luck and finesse, but I unfortunately don’t see them publishing to F-Droid. F-Droid actually builds your APK from source themselves, and I don’t see banks giving up the source any time soon.

Actually, as I’m thinking about it, that may be true for F-Droid’s main repo, but I know other repos exist, so maybe they could host their own that you would just add to your F-Droid’s repo list?