a ton of people (me im so lonely) have there computers sound broken (my brother broke of headphones inside the computer)
~ @WeAreNumberUno
As is, the jack (metal part) is lodged in the receptor bit?
This is a theoretical solution, so if anything goes wrong, or it doesn't work, it's not my fault, but if you were to somehow get a small screw (very small, almost like a watch screw, but long) into the metal bit stuck in there, then you could theoretically screw it in and pull the jack out.
This gets messy, though, because to do this you'd need to drill a pilot hole, and it's really easy to mess that up and permanently damage or destroy parts of your computer.
I'd do this as a last resort, and only if I didn't mind damaging my computer.