Do I have to use a "neck" pickup in the neck and a "bridge" pickup in the bridge position?

Terms like "neck" and "bridge" models aren't meant to be rules. The only rule that's good to follow is to not put a pickup in the neck position that's louder than the bridge pickup. String vibration is stronger at the neck position, so it may be difficult or impossible to balance neck and bridge pickups if the neck pickup is louder than the bridge pickup.