I doubt that the vehicles can be moved or parked without the traction battery. The swap station actually swaps the battery. Swapping is meant for taxi operations, an application which doesn't allow for vehicle downtime while charging. In contrast to that, vehicles parked have all the time you need to charge up and maintain the battery. A plug at every parking slot should be a lot cheaper to install than a swap station.
You can, however, get a fresh battery when you leave the airport if you want to - and if you are a subscriber to the better place network.