Hell, I'll even go one further. In the past several years, about 50% of the deer I've killed have been using the wrong shoulder/hand. I've found it easier to just shift hands.
I've killed a turkey or two wrong handed with a shotgun too.
My brother in law figured out how to shoot his bow wrong handed for the pig coming on the wrong side... I never really got that far.. my draw weights were usually to heavy to start with.