Does angular momentum contributes in lifting a helicopter?
Well helicopters are designed with both types of rotor systems.  American built helicopters have main rotors which rotate counter clockwise whereas European built helos have clockwise turning rotor systems.  Near as I know there is no particular advantage to one over the other, though you do have to reverse anti torque pedal corrections for collective inputs on a CW turning rotor system vs a CCW system, transverse flow effects are reversed and LTE events are more likely from right vs left crosswinds.
Just to be clear, torque is VISUALIZED as a vector perpendicular to the plane of rotation; it is not a force.  If the latter were true, you could propel craft to the moon and beyond using just a gyroscope.