As long as you're not stealing them, I don't think so. The gyms are all one type, though. Falkner thinks he's so great with his Flying-type gym he doesn't even know birds like I do.

[Ben chirps back. He's doing well! Tobias snaps out of his muttering the smile down at him.]

I guess it helps to have a varied team, but anything with wings is always going to be high on my list.