Cinnamon answered you - but yes, why not?
ftp is ftp.
As long as the ftp implementation whoever made for the vita is ok, it should work with everything.
there are many ftp apps for android, i guess some aren't great and won't work
I tried using molecule ftp with my android, i used esfile explorer and it just hangs at loading screen, i even tried this with my regular windows and it does the same when i try to copy a file. Filezilla only seem to works for some reason