Ambidexterity is the word you’re looking for. And yes it exists, but still people will often have a preference because they’re used to using a certain hand for certain tasks.
https://en.wikipedia.org/wiki/Ambidexterity
As for your question. Being uncomfortable with both hands is basically learning a new task. Like a baby learning to stack blocks.
As a metal head, it was always fun seeing other bars and clubs in the middle of the night having police and fights outside, while our dainty little metal bar only had that when those people came to our place.
Some people even came for the lack of fights, even if they didn’t like the music. Always a brotherly atmosphere welcoming to all strangers.