Most likely NO! I have seen many end of the world prophecies over the years and none of them have proven themselves true. The myan calender, as far as I understand, will be at the end of it's long count and will then reset. This to my understanding is in no way indicating the end of the world. Even if the myans clamed it being the end of the world, wich I do not think they were doing,then what evidence do we have that they knew this?
The bible talks about the last days of a system of things, and indicates that we are now in that period of time. But the day or the hour is only known to Jehovah God MT 24:36.