At the risk of being flippant, the answer is No as earthquakes can only occur on Earth. If you mean, are there such things as Marsquakes or Venusquakes, the answer is probably but we don't know for sure. Any planet which has a surface formed from tectonic plates and a molten core, presumably must have seismic activity. Incidentally, the solar system's most volcanically active body is the moon Io which is the closest satellite to Jupiter. The proximity of the moon to Jupiter's enormous gravity means it's core is constantly being pushed and pulled around.
