It looks like it can be done, but you will have to do some modifying, those folding doors will leak light, your going to have to ventilate it somehow. With it being an apartment, your going to have to put things back to the way they were before you moved in there...so are you handy enough to do this without screwing things up? (hanging doors, patching drywall, possible wiring) If your not you may want to consider buying a tent off E-Bay.
Also being in an apt., on your lease how much time do they have to give you before makeing maintenence checks on smoke detectors, and yearly inspections etc? Can your landlord/manager or maint. man come in whenever they want or need to. When I lived in an apt. I only grew outdoors, other than starting seeds in a closest...a full blown grow can be dangerous. Just some stuff to think about.