To begin with, let’s get the elephant out of the room; No, I’m not asking about free energy.
Now onto the question: Wind turbines have a peak efficiency at some wind speed. Say the wind speed is bellow this peak and the wind turbine is on a moving vehicle, used to propell the vehicle forward. Will the turbine become more efficient as the vehicle picks up speed and the wind speed relative to the vehicle equals the speed which gives the maximum efficiency for the turbine?