In A320 flight controls are actuated hydraulically and control signal for the actuation is from computers like ELAC, SEC, etc., (Rudder and THS can be controlled mechanically also). None of the flight control surfaces will move without hydraulics no matter what control law (normal alternate direct) the aircraft is in. The computers take inputs from side stick or AP, compute how much surface deflection is required and then give signal to the hydraulic actuator (with the help of a electro-valve) to move the control surface.
Trimming in pitch is done by the Trimmable horizontal stablizer (THS). Control signal is from ELAC or SEC or mechanical trim wheel.
Elevators and aileron do not have any mechanical linkages. Rudder and THS have but all actuation are hydraulic.