Can a problem with clutch hydraulics cause car not to steer straight?

For example if you have leaks or air I imagine the gears won’t engage properly.

Could this lead to lower transmission and engine performance which In turn leads to car not feeling straight, maybe feeling heavy on one side?

I imagine it can because I experienced such a thing due to old oil then changing the oil made car run smooth again etc.

Also with a recent clutch fluid bleed car improved in this respect.