Cancun is very beautiful place to visit in Mexico and yes it too affected by Tsunami but not as much as Chile.
Yes, in 2010 there was an earthquake in Chile which also led to damage in Cancun several days later. You can see a video of this here. Luckily the effect was small there, and there don't seem to have been any serious injuries or damage - unlike in Chile, where the earthquake was very serious.
It hit Cancun Mexico.