Yes and no.
There is a way to make animations either apply to all characters, or only one specific character.
As far as being a 'lefty': that would be one HUGE undertaking! One saber style alone has ~2000 frames of animations in over 70 different animation sequences.
You'd also have to redo all the movement animations, force animations, and gun animations.
You'd also need someone to code the weapons into the left hand or figure out some work arounds. I can think of two, but they are not very practical.