Manual steering column

From Memory Alpha, the free Star Trek reference

The manual steering column was a helm control option aboard some starships that resembled an antique joystick. It was capable of providing fine control when precision was a less important factor than fast reaction times.

NX class starships employed manual steering columns for performing exacting maneuvers. (ENT: "Breaking the Ice", "Minefield", "The Expanse")

The Sovereign-class USS Enterprise-E had a manual steering column that allowed the conn to manually control helm functions if the need arose. (Star Trek: Insurrection)