Warping is throwing an anchor either manually for a small ship or by rowing the anchor out and dropping it farther away for a larger ship. Then the ship would reel it to change position. Good for maneuvering in harbor. Etymologically related to “throwing” and essentially threading a needle across the sea.
Warp factor get you asses in the rowboat. Engage.
Pipe lay (etc) anchor barges do this today.
There are usually six to 8 anchor winches on the vessel. A tug comes to the barge, picks up the anchor and moves it out to some point while the winch unreels. Repeat for other anchors. Winch in to move the vessel.
This is used for precision movement/placement of the barge.
Many vessels use azipods and Dynamic Positioning System (DPS) these days.
But before DPS much of offshore infrastructure was placed by anchor barges.
Those vessels have truly advanced warp drives.
Depends on the quality of the dilithium crystals…