Yes, a moving mirror can violate the traditional law of reflection. The law of reflection states that the angle of incidence is equal to the angle of reflection. However, when a mirror is moving, especially at relativistic speeds, this law no longer holds true.
In such cases, the angles of incidence and reflection are affected by the motion of the mirror. This phenomenon is due to the relativistic effects on the light’s momentum and the frame of reference in which the measurements are taken.