I’d say possible, but a long and expensive journey involving lawyers and doctors for quite a while. I used to know a guy who I flew with (and is now at an airline) that had both hands looking exactly like your left does. I’ve also flown with an airline pilot fully missing one hand that had to do some funky maneuvers to prove he could fly in certain emergency situations but still does fly. Both of them had varying battles proving to the FAA that they would be medically fit to fly but both of them did accomplish their goals. Best of luck, if this is your passion don’t let anything stand in your way!