In general I agree with Michel HV, however, most of my images have a “subject” and the subject usually “faces” either right or left. I don’t photograph people, so the term faces is not literal, but unless the view is straight on, the composition usually leads the eye either right or left. If the subject faces left, I leave more room on the left. Of course this has something to do with what is actually to the subjects left but if the subject faces left and more space is on the right it is equivalent to a photo of a person walking out of the frame.

A good composition is one in which the elements of the composition are visually balanced. So (as Michel said) placement of the main subject has a lot to do with the “visual weight” of the other elements. It has nothing to do with whether the composer is right or left handed.