Not in the least, we have had Earthquakes since the world began, and even in the brief history of mankind they are a regular occurrence, the bible story of Jericho is (in part based on fact) archaeologists have shown the ancient city was destroyed several times. More recently the 1906 earthquake that destroyed San Fransisco will happen again, there is at present no way to tell if this will happen next Tuesday or 50 years from now, but it will happen.
There has been no sudden increase in earthquakes records of earthquakes go back to the start of recorded human history.
http://www.readinessinfo.com/eqhistory.shtml
I think there is no reason at all to think the Earth is going to end anytime soon and it certainly wont be caused by an earthquake.