1 hand a shotgun? In a Hollywood action movie maybe.
If you are hurt that bad, you are not going to be using the auto either
BTW, I've shot 12 gauge shotguns single hand, just to see how it would go.
It's doable, but not enjoyable
I’ve done it. Whacked a porcupine while restraining a very upset dog on a leash.
To be honest you can one hand certain models, the old model 12 Winchester and the Ithaca Model 37 can be cycled with one hand. They have very smooth slides and can actually eject a shell by holding it vertical and hitting the slide release. A quick jerk the other direction will chamber the next round.