Can playing bullet damage your rapid skill?

No, it cannot.

But if you make 60 moves a minute in a 15/0 rapid game against an equal rated player, you're opponent will most likely destroy you.

As long as you slow down, then of course playing bullet won't effect rapid.

Rapid requires more depth, of course. You have to consider many possibilities, many different lines.

@Frankieking7983 said in #8:
> If you are playing classical, rapid, or blitz, you don't want to be in "Bullet Mode" unless you have little time left.
And often not even then. Classical tournaments are mostly played with 30s tournament today so that you still have at least 30 seconds for every move, however low on time you get. (Minus few seconds for writing down your opponent's move.) It's not as much as it might seem but still way too much to play in "bullet mode".

yes bullet does effect your rapid and classical a lot.