Some of the world's best players are left handed - including Phil Mickelson, Bubba Watson and Mike Weir. Learning to play in this way is no disadvantage.
It is understood that around 10-30% of people are left handed. In general, most people have a certain degree of ambidextrousness and therefore can play the game either way. Normally, it’s good to try and see what you feel comfortable with. If you have just got started and you are really having issues getting to grips with the mechanics on one side, the best thing to do is try and hold a left handed club with a supervised grip at your local pro store to see whether or not you feel more comfortable.