Probably not, although it could lead to other problems which would cause your car not to start.
engine
No. A bad starter would cause the car not to start.
No, a bad crankshaft sensor would cause the car not to start and run.
no, the thermostat would have nothing to do with the car not starting.
Yes
Possible, but not likely.
Out of time.
No spark?
Certainly, a loose wire on the car battery can cause the car not to start.
Yes, one bad cell in a car battery will cause the car not to start.
yes and ignition relay would..