Yes, if you look at a simple projector you can see it: there's a little half-loop of film before and after the shutter/lens assembly and you can see it vibrate

Yes, if you look at a simple projector you can see it: there's a little half-loop of film before and after the shutter/lens assembly and you can see it vibrate as it buffers between the intermittent motion at the shutter and the smooth motion in the rest of the film path.