If you can write the code, it could be pretty straightforward. From a quick search, motorized turntables already exist, from $10-100, both with and without remotes. So you could either wire a controller into one, or reverse the remote’s signals. I also found this guide for a DIY one[0], if that’s your preferred route.

[0] https://www.instructables.com/15-Motorized-Rotating-Display-...