Yes. When I was doing my private pilot license (late 70’s) there was a common investment profile that looked something like this -
Rich guy - doctor or lawyer, say - has a wad of cash. Buys a plane - this is just the down payment; the rest is a loan. The owner then leases it to the flying school/charter service, which treats it as one of their own, leases it out by the hour to paying customers or students. They pay the owner a per hour (per engine hour - aircraft are leased by the running hour usually) share of the revenue, and also takes care of the maintenance, charged against the revenue they would give to the owner.
Owner uses revenue stream to pay off loan. Interest on loan is tax deductible business expense, as is the maintenance. If the owner is lucky, they get enough to pay the loan, once the tax deductions are taken into account. When the loan is paid off - say, 10 years later - he owns an aircraft outright. Aircraft typically don’t depreciate much, unlike automobiles. So the owner can recoup a lot of his cost by selling the aircraft. This is capital gains, typically taxed at a much lower rate.
However, the plane is an asset and investment, not a toy. If the owner wants to use the plane, they rent it like anyone else. Not bad - it rents for, say, $X an hour. you are essentially paying that to yourself, minus the flying school or charter operator’s cut of the rental. So you are essentially renting it from yourself, money out of one pocket, and most of it back into the other.
the downside is of course, if the business is slow, you absorb that risk. If the operator has their own planes, they will use those first, more money for them.
If you want to fly commercially, they you need a commercial pilot’s license. That’s 200 hours just to qualify, and IIRC needs to be re-certified fairly regularly (every 6 months?) as opposed to my private license that only needed 45 hours. Once you have that, nobody is going to hire your for multi-million-dollar jets. The usual path is that the flight instructors are eking out a living (my nephew lived at home for 2 years) before getting into the small prop flying and then the turboprops with 20 passengers or so.
After several years of working your way up, you may eventually b flying commercial jets. I suspect those who have business jet experience came up the same way, although a lot of military pilots take the alternate route with fighters first, then possibly transport aircraft.
LSLguy is right. Charter operators need licensing and approval. they want to be sure they don’t end up with starving operators who cut corners to keep the doors open. It’s not something you’ll do without an experienced partner and some lottery winnings.
Also, another route to private ownership is, as LSL says, shares. I’ve known groups where 4 guys owned shares in a small plane - but then, we’re talking $100,000+/- Piper or Cessna. getting 4 guys together who only want a quarter of a Learjet and also have the money, the training, and the desire to use it - pretty difficult. Then if one wants out, what’s the solution? Who gets to schedule what? How are operating and maintenance costs figured? (Operating hours - then the guy who drops out simply makes the regular maintenance a 3-way bill for the rest).
Aircraft mechanic, too, isn’t something you learn from the school on the matchbook cover. It too is an apprenticeship arrangement and tests, some serious experience alongside existing techs.
If you want fast and hot aircraft and you have a few hundred thousand, if you are a good mechanic type, I would suggest you look at a homebuilt. Something like the Rutan Defiant (twin engine, 200mph+, 1100mile range) or the mentioned Velocity jet. meanwhile, take flying lessons to ensure that this is actually something you’d enjoy. At very least, take a ground-school class where you’ll learn the rudiments of piloting - the mechanics of flight, about the aircraft, and particularly the involved aircraft operation regulations. (Except home built aka experiment aircraft cannot be used for commercial purposes).