Corolla ve 1999 problem to accelerate check engine on

Could be, or low fuel pressure.
Is the check engine light on ? A faulty sensor should set a trouble code in the computer.

possible clutch failure --sounds like clutch is slipping

This is an engine/ carburation problem, it cant be anything else. The ECU may have a fault or a crank sensor is playing up or the fuel pump or an air flow meter or throttle switches. Take it to someone with engine diagnostic equipment not transmission or brakes.

HI,
Wow! Glad you both came out of it unhurt.
What I think happened is that one or more of you engine mounts failed. When you punch the gas pedal on a car with a failed engine mount. The engine will twist in the opposite direction of the torque being created in the drive train. When you punch it hard, while passing, the engine will twist enough to pinch the gas pedal linkage against the chassis wall, locking down. DON'T DRIVE IT, EVEN IF SLOWLY. GET IT TOWED. Installing mounts is not a very difficult job, so you can, if you want, do it yourself. Hope the rest of your New Year has no more excitement and adventure that you don't want.
Happy New Year,
Best Regards,
Mark

check the electrical connector at your gas pedal

Check you brake fluid, If its low when you go WOT the fluid will move away from the sensor and the light with come on and take a few seconds to reset

I have a a 99 gs 300, check engine light is on as well as the vsc light. What is that and needs to be to done to fix it.

throttle position sensor needs to be changed

You should have your cat. checked make sure there is no restrictions in your exhaust system.

Check for a vacuum leak around your intake probably close to the throttle body