That's a tad unusual.
It would seem you need Interstellar Factors now - and your Station there apparently has none.
(during a Beta Livestream, they were still able to pay off such a fine on location though; the Contacts Menu part wasn't redded out (?) )
I guess you might have to try Eco jumping (or FSD Boosting via Synthesis if your Jumprange is very low) to the nearest Low Security System with Interstellar Factors.
(use Galaxy Map to filter "Services -> Interstellar Factors)
Anyway... unsure if that's working as intended or a bug.
IMHO a tiny parking ticket shouldn't force a Player to relocate to a distant Low Security System just to find an IF Facility and get rid of it. Lots of hassle for a small accident.
That should be reserved for actual Criminals.