Looking for a plugin / creating something that pulls apart an image.

That’s a single image. An animated GIF file.

What’s happened in your example is that they’ve taken a video, and exported it from whatever video editing software they are using as an animaged GIF. That is really all there is to it.

If you want to emulate that with an image (or two as you’d have it in your example) then you’ll need to look into something with jQuery. There’s a chance that there’s a plugin that could do this, but it’s a pretty specialised action, so the chance is pretty slim. However if anyone else out there knows of anything I hope that they speak up!