So one tinfoil theory that can tie to this and one normal theory.
Let's get crazy first.
There's a theory that hypothesizes the Egyptians fled Africa during the Desertification and Sea People invasions in their boats and traveled first along the coast of Africa, but eventually crossing to Brazil and sailing upward to Meso-America. This theory is propositioned not just by crazy conspiracy theorists, but the large 'Africanizer' movement in the African-American community, which finds ways to suggest that parts of history that we associate with white figures or on white knowledge, are actually from African knowledge or African figures. Like the Egyptian pharoahs weren't red or tanned-skinned, but actually Nubian or dark-skinned; and that white archaeologists couldn't tolerate such history in the light of their 19th and 20th century racism. If you want more about this theory, here you go.
http://www.globalresearch.ca/before-columbus-how-africans-brought-civilization-to-america/5407584
On to the more subdued theory. They have been finding several Polynesian sites along the West Coast as of late, suggesting that the Polynesians knew of astronavigation, long before we usually hypothesize it's use. To that extent, it's also likely that Mayans, the inheritors of DNA from those who crossed the Bering Strait during the Ice Age, had such knowledge. Or that interactions with seafaring peoples in the Americas gave it to them.
http://etc.ancient.eu/2013/03/26/polynesians-in-california-evidence-for-an-ancient-exchange/
My own take is that with astro-navigation and the Egyptian fetish with building pyramids under constellations, that stars have been a key part of every ancient religion under the sun, why wouldn't a culture that existed in strength from 600-1100 CE not practice the same methodology. It's completely plausible that the Mayans would have built cities based on the stars.
Personally, when confronted by the existence of "kid geniuses", I hold my breath until I can look at the evidence untainted by media attention.