Man can

 The path of one total solar eclipse that occurred on July 11, 1991

They never foretold the domesday but some solar eclipses.
Anthropologist husband-wife team, Harvey and Victoria Bricker have devoted their lives to understanding the pre-Columbian Maya and how they understood the world around them.

A new book, Astronomy in the Maya Codices, American Philosophical Society,  2011, which was awarded the Osterbrock Book Prize for historical astronomy here at the American Astronomical Society conference last monday details a series of impressive observations made by Mayan astronomers  pre-16th century.
Anthropologists decoded early Mayan hieroglyphics from four codices, finding the Maya accurately predicted modern-day astronomical phenomena.

In fact, the Brickers found the astronomical calendar dated to the 11th or 12th century accurately predicted a solar eclipse  to within a day in 1991, centuries after the Mayan civilization had ended. The 1991 eclipse occurred on July 11.

I very much appreciate the thorough and careful work.
But that materialism can not understand what more an ancient civilization was able to experience the behind physical phenomenon.
I say, living things.