Not for Europeans or Africans. I have the flimsiest fingers I've seen, due to my Native American ancestors, other than my relatives. I've never come close. I did break a finger five closing a bus door handle on the last joint. I would be more worried about ripping a nail off executing glissandoes.
Pay attention to the threshhold of pain. You can cause joint damage by using your hands as a hammer, that can bother you in old age when the testosterone dries up. I remember the huge increase in the pain threshhold about age ten, and more gradually, It is back down again starting in the mid fifties. Fortunately, I've never been one to show off to the guys (or girls either) and my biggest pain is in my wrist at right angles from pushing the mower handle. No floor pushups for me.