I'm very left handed and certainly couldn't play a right handed fiddle the correct way round. In addition, I have fingerpicker's nails on my left hand and play the mandolin strung right handed (the fingering is the same as for a fiddle).

When I have had the opportunity, I have tried playing right handed fiddles, bowing left handed. Works fine if you play from the elbow rather than the shoulder. Yes, I know that's not the done thing, and apparently you can't get the vibrato, but it works OK for an incompetent like me.