Here's why it's not true:
* The Mayan calendar didn't predict an apocalypse: The Mayan calendar simply ends on December 21st, 2012. It's like a calendar ending on December 31st - it just signifies the end of a cycle, not the end of the world.
* Earth's orbit is stable: The Earth's orbit around the Sun is stable and well-understood by scientists. There is no known celestial event that could cause Earth to collide with the Sun.
* The Sun is far away: The Sun is about 93 million miles away from Earth. Even if there were some force that could drastically alter Earth's orbit, it would take a very long time for it to reach the Sun.
The belief in the 2012 doomsday prophecy was fueled by misinformation and sensationalism, but it has no grounding in scientific reality.