That sounds like an interesting idea. Could you describe what would be on either side of the screen in regards to boards? Digitiser on one side and RGB Matrix on the other? What would they be doing? A clock, sensor readout, flashing alarm?
If they were separated, you would need to either have multiple wires running between them, or have a Motherboard on each side. The motherboards could communicate via Bluetooth if they need to via some nifty programming.
Let me know the details, then we can figure out the best way to do it.
Thanks for getting creative!