Sorry guys but I find these discussions irritating. If someone is fully left or right handed then playing the other way will NEVER be as good as playing with the natural hand. One side of your brain deals with rhythm. If you try to play with the wrong hand doing the plucking then you'll never be as fluent as the "correct" way round. What most of you are describing is some level of ambidexterity. I'm fully left handed, kick with my left foot, if I golfed it would need to be lefty clubs etc. I could learn to play right handed with enormous effort but I'd never match my skill playing lefty even if I practised for 100 years.
Having said all that, the only way to know for you is to try it. You will be able to develop some degree of ability left handed, how much and how quickly depends on how your brain is wired to your body.
Good luck, sorry to hear about your injury, sounds nasty and painful.