Yes, definitely! I had this happen with Penguin and was too stupid to get her a friend, so she imprinted on me and kept us all up all night peeping, until she was grown up. I would literally have to knot her into two towels and turn out the heat lamp to keep her asleep. For a long time after going into the coop she was a social reject among the chickens, and even at three years old she still gets along better with me than with them. Which is nice now, but for the first year it was miserable. If you want a socially well-adjusted chicken (and to sleep at night) get her a buddy asap!