Well...no, not exactly.

It was named "hysterectomy" because the Greek word for uterus was "hysteros", and because "-ectomy" refers to the removal of things.

"Hysteria" was so named because it was believed (by extremely enlightened doctors of yore :/ ) to be caused by the uterus, the hysteros, detaching from its normal position and wandering about the body.

So, correlation, but not causation.