Yes. A simple solution is to use a flash bracket that screws into the camera’s 1/4"-20 tripod socket and provides an offset mounting point to the side of the camera. Many brackets include either a cold shoe or an additional tripod thread, which can be adapted for a GoPro mount.

If you want a very low-cost DIY option, you can make a basic side bracket from scrap metal and a 1/4"-20 bolt using the camera’s tripod socket.

The key idea is to use the bottom tripod mount to create a side-mounted attachment point, since the hot shoe is unavailable.