Playing both left and right handed guitar!?

Hey, im left handed and play a left handed electric guitar, however im going to take up b and decided to learn right handed because i think it isnt as hard as electric in terms of coordination and of course there is such a better choice etc. But I was wondering if it is possible for me to do B righty and electric lefty? Or is it impossible to have skill on both sides because im worried if i continue to learn on my left (good side at the moment) then the right will never develope etc...Thanks