Nope. If one tribe is complete, and you want to play again, start a second. Is one tribe not keeping you busy? Try three. They start more tribes because they want more to play.

I, personally, am trying to line up my three tribes by hair color - the black-haired Dru'gotti, the red-haired Kiegan, and the blond Leland tribe. It's just another challenge that I'm trying to accomplish.