Can ChatGPT make simple animated GIFs for social posts?

For social I'd export a short MP4 rather than a GIF anyway. Most platforms convert GIFs to video or squash them, and an MP4 of the same thing is smaller and plays smoother.

Sort of. Its image generator only makes stills, but if you ask it to write and run code it can stitch frames into a basic GIF, fine for moving text, not much more. For anything nicer make the frames and animate them in Canva.