Absolutely! I took two of my friends shooting for the first time (guns - I shoot everything left handed because I am left-eye dominant, though right-handed), and my one friend started out trying to shoot right handed, but kept trying to look through the scope with her left eye. It was the funniest sight!
It was just so natural for her to want to aim with her left eye. I suggested she switch arms and she was much more comfortable!
For me it is so much more intuitive to "point" with my dominant right arm while I "aim" with my dominant left eye. Wouldn't take it any other way!