((Using my own closet door as a reference, the screws to the hinges are inside the frame, so no matter which way the door opens they are not exposed while the door is closed. The hinges themselves, however, are exposed, as any closet door necessarily opens to the outside. So, with a hammer and chisel [or a flat-head screwdriver] it would be possible to pop the pins out, separating the two halves of each hinge. Alternatively, you could disassemble or destroy the handle, which would take the locking mechanism with it.))
Jake is unable to unscrew the hinges, because if he could access the screws that would mean the door was already open, and then he'd have no reason to unscrew them. He'll have to look for another way to open the door. The actual hinges are exposed, held together by simple pins, and the handle itself seems to have been installed with the screws facing outward.