Can two earthquakes happen in the same day?
Hundreds of detectable earthquakes can occur around the world each day. Many more can occur yet be too small for some of the most sensitive seismometers to even detect.
Those places with repeated earthquakes are situated over tectonic plate margins with faults and plate activity. They happen commonly in California because there are two plates that converge under that area, for example. Where ever there is motion of intersecting tectonic plates, earthquakes are more common.
There is no such thing as a "mixture" of the two. Cyclones and earthquakes are completely unrelated. While it would be possible, however unlikely, for an earthquake and a cyclone to strike the same area at the same time by chance, such an incident would simply be two events that happen to occur at the same time.