My dorm wifi is very bad, and it runs over a network that is supplies online through my Campus net where you put your MAC Addresses of your devices in order to connect, could I connect a MAC address of a WiFI router in order to establish a connection for it

The question is "could I" and not "will it work?" The answer is you could. And in fact given the wide variations of such schemes it may or may not work. No one will be able to tell you except the department that runs the network. But could you connect such a thing? Yes.

second what rproffitt said, its definitely down to the ones managing the network.