As a professional with several years experience in Autonomous platforms (mining trucks, drill rigs, aircraft & rail), I can publicly state that the technology already exists for fully autonomous passenger planes and cars. The issue for lack of adoption is two fold, most of which readers of this site would already understand;
1. Government / institutional inability or unwillingness to adapt to the new technology
2. Social / cultural reluctance to knowingly hand over operational transport control to a computer
The irony is that a large percentage of systems are already heavily automated, if not fully, and it is just kept out of the public spotlight. For example, 80% of Sth Korea has a fully automated metro rail network yet US , Australia and UK passengers reject the very same tech for fear of robot drivers. Yet the Chicago airport shuttle train is fully autonomous and runs for about 1.5miles under the tarmacs shuttling passengers between two terminals. Passenger aircraft take off, landing and transits are fully automatable and land better in adverse weather than manned systems as the follow the digital beacons rather than following their 'guts' when the weather gets bad.
Back to the question, will autonomous passenger planes become a reality soon. I believe the answer is yes and a lot sooner than the public will know about. Simply continue the heavy automation root whilst dumbing down pilot / crew training until they basically become a figure head that makes the public feel like a human is in control. A generation after that, the charades ca cease as the cultural adoption catches up with the technology being implemented.