Answer:
Most hawks are very territorial so playing is not really common as far as I know. There are several species that will do "sky dancing" as they fly at each other in a mating ritual. I have seen a beautiful Red Tailed Hawk adult play with its food though, for over 30 minutes, throwing the mouse and then "chasing" it through the dead leaves. hawks defend their territory very viciously . and don't appreciate intruders.