You could do this with some custom HTML and Javascript.
Look at the twohalves.aslx demo for an example (you can
play it online) - it's in the Source Code at
http://quest.codeplex.com. Go to Browse, then navigate to /WebPlayer/Examples/twohalves. I've written a bit about it in the final section of the tutorial at
http://quest5.net/wiki/Using_JavascriptWhat you want to do is pretty similar to the demo. You would want to override the addText function to write text to the currently active <div> element. Then you would need to create Javascript functions to allow you to swap between them (just toggling their visibility using jQuery), which you would call using a RunScript request.
You can toggle the panes during play using the Hide request - twohalves.aslx again has an example in its start script (because it was written before this was a Core option). Turn them on again using the Show request.
This is pretty advanced stuff so I'm happy to guide you through this if you need more help.