The Moon has minor tremors . The Apollo astronauts left four seismometers on the Moon , and the Soviets got a seismograph French did. They found that the moon has minor tremors in a cycle of 27.3 days , which corresponds to the time when the Moon is at perihelion (closest Earth ) . Presumably slightly greater gravitational effect causes minor instabilities to slip. But the Moon does not have plate tectonics, in fact, the only other place in the solar system where tectonic plates fully developed is found on Ganymede .
Dahal Re : When plates are caused by movement caused by the magma . But no, I do not think that the moon has an active core ( but there is always a chance) . We have never seen a moonquake before, and no evidence of that occurring.
Earthquakes happen on Earth. If they were to occur on the Moon would moonquakes . The moon is solid without changing tectonic plates and cause earthquakes . If the Moon were to be beaten by a sizeable asteroid and which were in it at the time of vibration of the impact would be felt like an earthquake.
Nope, moon quakes are possible though. The moon is not geologically active. However things shift a bit from time to time, tidal stress and impacts are obvious sources. With no liquid mantle to drive it there is no plate movement, though the moon might have fault lines to mark where plates once moved.
technically earthquakes only occur on earth thus EARTH quake, but I'm sure your tired of hearing that. The answer is no the moon is a frozen ball and as such does not have any earthquakes or moon-quakes in this case.