Not really. What the competent rhythm instrument nearest to the lead does is learn what the lead is doing, and anticipate it so as to play in time. That is why the competent leader signals unexpected changes ahead of time. I try (but often fail) to watch the lead player and follow the fingers, if I am the other end of the room. With singers it is easier - the lips seldom lie (in this context) and the ribs (or flesh thereover) often give clues ahead of time.