That is one of many possibilities.
See related questions below.
A dead battery would not cause an engine to seize
water pump, oil, water, engine coolant....main cause would be engine coolant, just check to see if you have a leak.
It could be a weak battery or a bad ignition coil.
It would if the battery voltage was lowered enough to cause it not to fire.
a weak battery will not cause an engine vibration.
Weak battery? Loose or corroded battery cables? Starter solenoid?
Yes, a restricted or leaking radiator can cause the engine to overheat.
Could be, (assuming the starter is not cranking the engine) a bad starter, dirty or loose battery connections, the engine is seized.
Engine speed sensor faulty. Dead battery or batteries. Loose or dirty battery connection. Dead spot on starter.
If the alternator fails, it is no longer keeping the battery charged and your engine is running on nothing but battery power. Once the battery runs down, your engine will no longer run.
Check the battery cables for being clean and tight. The smaller red lead goes to the power distribution box. The connections there are bad about making good contact.
A blown head gasket could cause an engine to overheat, just like a bad thermostat in an Impala. One difference is the head gasket will probable leak coolant, either in the cylinders or in the oil.