She could use "I am never likely to get/find an available parking space in the station car park".
We use (informally, BrE) "to get parked" to mean "to find and park in an available parking space".
Did you get parked OK this morning?
Yes, there were loads of spaces outside the station.
What time will you arrive?
It depends how long it takes me to get parked.
Student or Learner