It sure can. In some cases your car will not run at all. Normally bad gas just means it is contaminated with moisture. A tiny amount of moisture and your engine will miss and run rough.
Bad tires and bad alignment can cause the car to shake at certain speeds.
the distributor controlls the spark, if the spark is advanced, too much, or retarded too much, yeah. it will shake, or not even run. the distributor doesnt usually go out, out of the blue.. if you took the cap off to check gap, or clean it, then put it on, and it is rough, yeah.. that may be it. but if it is out of the blue, running rough, you may want to check it for cracks, (cracks make gaps even hairline and the gaps make it run rough) you should also check the vacuum lines for cracks, and bad connections. the vacuum leaks will mess with the advancement of timing, and can also make it run rough. but to answer the question, yes. a bad distributor can make the car shake.
Bad engine cushions can make the engine shake. bad spark plugs cause malfunction as the car starts running.
yes
yes, but only when the brakes are applied.
Filling your fuel tank will not make your car shake, unless you got some bad fuel that was contaminated with moisture.
If your car is shaking it could be poor suspension alignment can cause a car to shake and vibrate, and other possible causes are bent or worn suspension parts, old tires, bent wheels and bad brakes. If your car sounds especially rough at speed, the problem could lie with the car's spark plugs and wires. Spark plugs fire more frequently the faster you drive, and the engine will sound rough when they begin to fail.
A bad fuel cap can make your check engine light go on. It shouldn't cause your car to run rough or die.
It is probably your brake rotors causing the wobble or shake. As they wear the surface becomes rough and less perfect causing the brakes to grab unevenly.
The most common reason would be bad spark plugs or wires. i hope this helps you. Mark Vacuum leak is more probable.
a bad engine
Engine miss or rough idle, or broken motor mount