Eggs were around well before chickens, even hard shelled eggs pre date chickens by a few hundred million years.
The question of which was first, the chicken egg or the chicken, then its a matter of definition. Is the egg defined by the animal that laid the egg (in which case the chicken was first), or by the animal it became (in which case the chicken egg was first).
But I’m sure this question was just a stage to plant yet another badly thought out sermon from bpg’s online pastor