If you have a programming language behind a button, you can do almost anything.
You could have one clip synced to the beat, then one synced to 2 beats, short sequences which you would pre-render.
2 buttons to start the 2 clips.
Also you could try layer routers in different positions with Delay RGB Effect.
tip: place a layer router on the top layer, set its layer opacity to minimum, then get that layer as source for layer routers below, with delay rgb, and just a bit displaced, rotated.