Scientifically talking, it would happen but not in the way the movie reflexes.
While a catastrophic earthquake like the ones shown in the film would happen (surely when someone lives an event like that we are really sure that we will not see such a show, probably we will end behind the rubble of a building), something like a long and painful chain of earthquakes sound impossible.
It takes a long time to the continental plaques to move several kilometers to have the effect shown in the film (technically creating a new continent by sticking all the continents together).
So, in real life it would happen but it will take thousands of years to see the ending, if any human survives all that time.
Or it can just happen with the following many ways -:
A cometary impact
A coronal mass ejection
A biological pandemic
Nuclear war
Super volcano eruption.
According to media reports of an ancient Maya prophecy, the world was supposed to be destroyed on Dec. 21, 2012.
Apparently not.
"The whole thing was a misconception from the very beginning," says Dr. John Carlson, director of the Center for Archaeoastronomy. "The Maya calendar did not end on Dec. 21, 2012, and there were no Maya prophecies foretelling the end of the world on that date."
According to Maya theology, the world was created 5125 years ago, on a date modern people would write "August 11, 3114 BC." At the time, the Maya calendar looked like this: 13.0.0.0.0
On Dec. 21, 2012, it is exactly the same: 13.0.0.0.0
In the language of Maya scholars, 13 Bak'tuns or 13 times 144,000 days elapsed between the two dates. This was a significant interval in Maya theology, but, stresses Carlson, not a destructive one. None of the thousands of ruins, tablets, and standing stones that archeologists have examined foretell an end of the world.