Transporting organs doesn’t happen on Private Jets, helicopters and courier craft typically do the job. It’s also now well within the possibility for medium sized drones to be able to rapdily move something the size of an organ container reliably long distance, faster and more efficient than a jet can load, fuel, taxi, land and unload.
Private Jets are just luxury items of the rich, and are the carbon equivalent of burning down small forests or power a small town with coal burning. There is nothing they do that can’t be done more efficiently by a drone or helicopter for a fraction of the emissions.