Question on Rules of Golf:

Definitely, although I don't think you need to. You want to use your limit of 14 clubs the most efficiently that you can. Chances are you need all your wedges and woods and don't have a club that you could remove to make room for the other handed club. Your best bet is to learn to turn a club around backwards and use if for punching out of trees and bad lies and such. It's fun to practice and actually not all that hard.