Freezer box ice problem

Hello! I’m a student and have a fridge in my room (that is not my own). Inside the fridge there is a small metal compartment hanging from the top ceiling that serves as a freezer box (there is a pipe running into it), with a drip tray underneath. This freezer box has rapidly built up with ice (frosty and nearly impossible to chip away at), and needs to be cleared somehow. The ice however has effectively stuck the whole section to the shelf below it, and there is no clear way to detach it anyhow as the pipe is connected to the back. There is no temperature control anywhere on the fridge, and I don’t have access to the power supply at the back to unplug it (I think it’s been made not to be tampered with, because they don’t trust all of us students apparently!).

What’s the best way to remove this ice? I would rather not go to the house master as he has 400 students to sort out, so don’t think he’d appreciate me asking about the ice in my fridge… Any help would be much appreciated, it’s more annoying than anything else (lots of dripping).