Looks feasible, really.
Although jet engines are relatively slow to respond, small ones should be faster. I'd think that a system such as that found in the Segway could keep the flights from becoming a complete disaster.
Don't know what that weighs, though. And I believe, don't know, that the Segway uses the inertia of a flywheel to help.
But "they" keep those monsterously tall rockets upright and even leaning. A smaller version, maybe?
I'd try the damned thing in a heartbeat. Might only fly that long, too. In this heat I'd probably be standing under a tree when I took off.
Arf