Of course, flying private is not viable for most people. I see the day approaching where owning a plane will be on the same order of magnitude of expense of owning a car. Two things make flying really expensive: fuel and maintenance (you can buy a flyable used plane for ~$50k). Fuel is a fairly intuitive expense: avgas runs about $6 / gallon in the northeast. Figure a small piston plane (4 people) burns ~12 gallons / hour, and you're talking ~$72/hr to operate a plane in fuel alone (note: you're traveling about 150mph in this piston plane, much slower than a jet). Maintenance is a huge issue as well. Every so-many thousand(~2k for a piston) hours of flying, you have to shell out a ton of money ($15k for a piston plane) to overhaul the engine(s). This is in addition to standard annual and 100-hour inspections.
One thing is going to change both of those factors: better battery technology is going to make electric planes viable. Energy cost goes down since energy from the grid is way cheaper than that generated from the ICE. Maintenance is hugely reduced as well. No oil changes. No engine overhauls (electric engines last for ~10x as long as their ICE counterparts and are way cheaper). Increased reliability (adding engines is a trivial cost and doesn't increase weight significantly). Recapturing potential energy during descent. Reduced drag (no nasty air inlets for that combustion reaction).
I don't think this change is going to happen overnight, but given the focus on battery technology for EVs, I think the requisite batteries will become available within 10 years (historically, battery density has doubled over 10y).