Not unless they are added - nothing gets automatically added to the crewlist of any entity. Also be aware, that person can exit the vehicle and walk around the ship as well, even if they are not on the crewlist.
Crewlist ( = list of people that are allowed to come aboard) is accessible via the inventory.
Passenger list ( = list of people currently on board ) is accessible from cockpit view. So yes, you need to be inside the ship, and either be pilot or have faction priv "Control Room".