Are there minimally invasive or natural orifice procedures to treat gerd?

Yes, to both. The surgical treatment of gerd involves wrapping the stomach around the esophagus, called a fundoplication. This has been performed laparoscopically for over 15 years. Recently, a new technique was introduced to create an internal wrap via natural orifice surgery; this is called transoral incisionless fundplication (tif).
Yes. Anti-reflux procedures, such as fundoplications, are done routinely minimally-invasively with laparoscopy. .. Natural orifice procedures for gerd are being developed, but not yet routinely performed. ..