the answer was for a end user.
you may have told: "In theory it could be possible since it is x86 based"
in theory, you can do everything in fact.
i've done a quick tabular for you so that you get a better visibility of what is easyly possible.
The main thing to remember is that installing debian .deb packages on batocera have a low chance to work.
if the system have only linux at the same level, only staticly build binaries have a good chance to work.
but maybe retropie is better for you. retropie is based on ubuntu. this has the advantage to be able to install extra applications via a package manager.