2 "layers" of websites in Full screen browser

Hi
Is it somehow possible to:
Have a full screen browser running.
If a mouse is moved, the browser window showing website 1 is hidden, and website 2 is shown. If no interaction for 60 sec. Show website 1 again.

?

Thanks a lot!

I’m trying to understand what the purpose of this feature would be? I imagine users would be quite confused by a mouse that doesn’t move a curser but switches the shown website only.