Ours didn't and I was shocked! We had a 5 day stay and I found out when I asked where I could get a copy of the footprints the day before we left. The nurse said, "we don't do that anymore.. It's funny because everyone always asks us that" um, duh! lol
I finally got around to doing them at home at 3 months. I wish I had newborn prints though.
Did your hospital do footprints?
(They didn't do photos either)