driving it to roughly
Yes, a loose distributor can rotate so that the ignition timing for the engine is lost.
It certainly could. It would eat the gear on the cam that runs the distributor.
a loose wire or a broken switch inside the cab
Sounds like the shock bushings are worn out are loose.
coil, distributor, distributor cap, plugs, or wires.
If it has a distributor, it might be the pickup inside the distributor.
One of the reasons why a Tahoe motor would skip and pop could be due to a loose timing chain. Some of the other causes of a loose timing chain are rough idle, sluggish performance, and the sudden change in the engine performance.
Bad coil? Bad distributor cap? Bad distributor rotor?
possibly a loose belt, or a worn belt try sprying some belt dressing on it, if it stops replace your belts soon. belt dressing is a baind aid not a cure.
Broken rotor button.
Yes, they could.
The trans mission IS probably going out. This is a well know defect in the 2002 Tahoe. Google it.