Sergeant Bond could not comment on the woman's injuries as police had not yet had a chance to speak to her.
Station officer Calvin Harradine, of St Kilda, said firefighters were required to free the car from the building to allow paramedics to get the woman out of the car.
Attempts to contact St John for an update on the woman's injuries have been unsuccessful.
No-one else was injured in the crashes, although people at the scene described the incident as a "very lucky'' escape as several people were coming or going from VTNZ at the time.