Reaching a precise velocity is easier if you don't have your rocket running at full thrust. Tethers would still need some connection procedure at low relative velocities.
Docking with high thrust also makes every previous mass saving effort irrelevant. A single second of 1g thrust needs ~0.3% of the spacecraft mass. And you cannot dock in a single second. The most fuel-efficient procedure would start with a high-speed (30m/s) approach towards the space station - which is dangerous already, get your course wrong and you crash into the station. Afterwards, fire your main thrusters and use the RCS system to fly in a curve together with the station until you are docked. Your spacecraft suddenly needs a strong engine, something spacecraft s rarely need. It also means docking is limited to a single place - opposite of the main engine. The space station would need additional structural strength at the connection points, would need some movable masses to keep the center of gravity balanced, and the connection points would be under strong tension. The spacecraft would have to be designed to handle tension (instead of just compression, as normally).
No. Just no.