No it is likely you have a water pump problem. Also check the water lever in the radiator, and weather engine oil has been changed recently or not. These engines are also problem prone in the head gasket.
Engine is overheating.
It depends on which engine you have but it should be in the intake manifold. There should be a hose going from it to the throtle body.
Failed thermostat.
It is on the engine, under the intake manifold, there should be a wire going to a sensor there. It is right in the middle.
could be your thermostat or you have no antifreeze coolant or your water pump is going bad
Leaking coolant, making noise or engine overheating.
Your overheating warning light may glow a semi red color after you go 4 to 6 miles and your engine isn't overheating for many reasons. The main reason may be that there is a wiring problem, or the sensor may be going bad.
In order to stop the car from overheating, your going to have to find the underlying cause. If you do not have expertise in this area, you will have to find someone who does. Maybe a friend or a mechanic. I would recommend you do this immediately. Extreme overheating can damage the engine.
The cost to replace an engine for Toyota Corolla is around $1,500. The exact price will depend upon how much labor is going to cost.
A failing valve cover gasket itself does not directly cause engine overheating. However, it can lead to oil leaks, which may result in low oil levels or oil contamination. Insufficient oil can impair engine lubrication and cooling, potentially leading to overheating. Additionally, if oil leaks onto hot engine components, it can create smoke and may indicate other underlying issues that could contribute to overheating.
To prevent brakes from overheating while going downhill, you can use engine braking by downshifting to a lower gear, apply brakes intermittently instead of continuously, and avoid riding the brakes for extended periods. This helps distribute the braking force and reduces the risk of overheating.
If there is such fuse it should in the main fuse box, in the engine compartment, going along driver's side fender next to the battery.