If not, why not? If you are in the Atlanta area, you can go meet him/her in their legislative office while the General Assembly is in session. If you are not in the Atlanta area, then you can meet them in the district office or even take them to lunch. There is no need to "argue your case" (although you may wish to mention some of your legislative priorities and offer to help him with his), just meet them, be friendly, and make a good, friendly impression. It may pay off at a later date.