Yes, cold ocean currents are generally stronger than warm currents. The primary reason is density: cold water is denser than warm water, so it sinks and drives powerful, deep-reaching currents. Warm water is less dense, rises, and forms weaker, shallower surface flows.
This density-driven circulation is part of the global thermohaline circulation (the "ocean conveyor belt"), where cold, salty water sinks at high latitudes (e.g., North Atlantic, Southern Ocean) and spreads along the ocean floor, while warmer surface currents return toward the poles.
Examples of strong cold currents: