Yes, of course. The trick is to use a render texture for the jigsaw puzzle texture, rather than an image. You then set up an area out of sight of the main camera where you set up another camera pointing at the animated scene (it could even be 3D). The output of that second camera gets sent to the render texture, so that whatever happens in the animated scene will show up on the jigsaw. I hope that helps point you in the right direction.