^^^ Yes. I am right handed and left eye dominant as was my father. About sixty years ago my father figured I had the same problem he had and suggested the solution that worked for him - shooting long guns left handed. It didn't take long for my accuracy to dramatically improve and I've never regretted shooting long guns left handed. Of course I remain right handed and have been bow hunting with left hand bows for years. It is even more important with the small string peep sight that is very close to my left eye at full draw. My guess is that it would have been extremely difficult to shoot a compound bow with a small string peep sight right handed with my dominant left eye "trying to control" my vision.
edit: typo