Yes! They definitely do. I live in NEPA and around dawn about 2 weeks ago my husband and I were having coffee and we started seeing turkeys dive bombing out of the trees. It was quite interesting. Then just on Christmas Eve, I was home early from work and around 4:30 right before the sun went down, about 6-8 turkeys all kind of assembled into a line went up on my neighbors septic mound and started running and flew up into the trees one by one. It was crazy. So, yes wild turkeys sleep in trees.