It depends on the road markings and signage. In general double yellow lines mean no waiting or parking, but there is generally a special exemption for loading/unloading or letting passengers in or out. However, there is frequently additional signage that will restrict hours when loading is permissible, or state no loading.

Double yellow lines (waiting / parking) are different to bike lines however. If a bike line is separated from the road by a solid white lines, motorised vehicles are forbidden from entering at all. If you want to load/unload or drop off passengers, you need to do that somewhere else. If the highways agency considered it safe for vehicles to block the cycle route in that place, they'd use dashed lines instead.