I can’t help wondering why you would want to light a closed room that way. As mentioned above, it’s possible but unnatural.
I’m sure you have thought about these options already, but I would either remove the back wall or light the room with Corona Lights. For even more realism, use HDR images of actual lightsources and add them as textures to flat polys. HDRs like these capture the light falloff, shape and internal reflections in a very realistic way.