Nowhere near enough energy for any kind of big game but it would be a fun and "different" way of taking small game, I guess? I've noticed quite a few more options with air guns, especially larger calibers than the traditional .177 pellet guns we all grew up with. My thing is, they cost as much as some used big game rifles and, for the life of me, I've just never seen what one offered that was anywhere near as useful as a standard .22LR.
I've hunted with one well-made, high-velocity, "serious" pellet gun and while I enjoyed it quite a bit, at the end of the day, it was still less effective than my old Marlin bolt-action 22, despite costing 5 times as much. Kinda hard for me to get excited about that.