Yes, they do … https://support.fairphone.com/hc/en-us/articles/17750098804370-Fairphone-5-Repair-Price-list-and-FAQ-Cordon-Repair-Center … just as reference, warranty cases don’t get charged, of course.
(Edit: Misunderstanding on my part.)
In case of urgency and assuming nothing else is broken, the USB port is a module available for self repair … Fairphone 5 USB-C Port - Spare Part | Fairphone … even more relevant if you don’t want to claim warranty.
Phone repair shops are also an option, if they don’t decline because they don’t know Fairphones (and thus don’t know that a phone repair job won’t get much easier than this).
Yes, sadly not unusual … you could try Live Chat.
They are trying to improve, apparently … Fairphone Customer Support Update - August 2025