Can you? Depends on your state laws.
I can't think of much you'd be taking shots at other than javelina and the occasional 'yote.
While the cartridge I wouldn't hesitate too much to use on deer, the glock as the platform I think is the limiting factor. And if you're going to be using a better suited handgun then you might as well go for a better suited cartridge as well.
I MAY DIE IN A DITCH, BUT I'LL BE LYING IN A BED A BRASS
*SHEEPLE: SHEEP LIKE PEOPLE, MANY OF WHOM DENY THE EXISTENCE OF WOLVES, AND VOTE TO PULL THE TEETH OF THE SHEEPDOGS WHO PROTECT THE FLOCK