Do you know how to solder surface mount components? Because it's most likely a surface mount board.

Also, is it a mechanical failure of the port, or (more likely) a component failure? I've rarely been lucky for it to be a simple mechanical failure (and I disassemble pretty much anything that fails, because why not?)

Everything can be opened, I've been opening stuff since I was 5 years old (just ask my mother - nothing went untouched... I could usually get things back together and working). There's myriad ways devices are assembled, they rarely use glue or plastic welding, and almost never on the final enclosure - that's usually done with simple plastic latches that can be quickly assemble by machine.

You'll want a tool kit with a "spudger" - a super thin (1/16", 1-2mm) metal bar - that can slide between the tiniest joints to start working things loose. BS (Before Spudgers were commercially available), I used pocket knives, exacto/razor blades, tiny screwdrivers, etc. It's a tedious process, you typically break at least one of the latch tabs (I use Goop adhesive to put things back together - it holds almost anything).