I've done it, both professionally and "not".
A couple of points. First, unless you're a bow hunter and plan on getting very close, or the blind is very close, a GoPro might not be what you need. The lenses are so wide angle that you see nothing 50 yards away, or whatever you see is so small as to negligible.
I would use a camcorder, but pay a little extra and get one with manual focus (oddly, that tends to cost more!). One challenge you will find is that you are filming animals hiding in bush, or through bush, but your camera or camcorder will only focus on the grass, or reeds, or trees, or whatever, between you and the animal. Manual focus eliminates that problem. You should also pay attention to the degree of zoom. Obviously, more is better, but at some point, you will have to pay a lot for image stabilization in the camera to make up for the long distance and high zoom.
You won't be able to film the actual shots, unless you have a friend along or train one of the trackers to hold the camera. Both you and your PH will have something else to do when it's go time. A tracker can do a good job of holding the camera still if you show him how, but test it a few times with the gunshot. Many - if not most - will jump or flinch at the sound of the shot enough that you will lose the picture when you most need it. If you are going this route, you might want to bring along some spare ear plugs for the guy. He won't be able to stand back, and he won't be able to put his fingers in his ears. And something extra in terms of the tip would be nice.
Good luck. I love looking back at these old movies, or clips, of my hunts.