Sure, just don't go around telling people you ran a marathon

Can I go around telling people I program if I don’t write directly in binary?

Yes? But you can't tell them you "programmed it directly in binary", even if that's the delivery mechanism they're interacting with.

Sure, but mostly people doing or using AI art are also not saying they drew every line, they say “I made this” in the same way I say “I coded this” even though I wrote it in a high level language and got the interpreter and compiler to do a lot of work.