Depends on what "control" means. Controlling access? No, that's indeed against all that Elite is trying to do with the Solo mode.
Being responsible for providing the station with resources necessary for maintenance and paying its upkeep in return for trade/ship discounts or receiving a trade/ship sale tax fixed by the game? Sounds reasonable to me.
Being responsible for providing the station with resources necessary for maintenance and paying its upkeep in return for trade/ship discounts or receiving a trade/ship sale tax fixed by the game? Sounds reasonable to me.