No this isn’t a contradiction in terms! Some interesting research has come out recently covering two aspects of early civilisation in North America.
Firstly it’s claimed that large mammals, woolly mammoth and others, became extinct in North America due to an exploding asteroid, rather than the usual explanation of over hunting. The extinction of large mammals is usually given as a reason by the likes of Jared Diamond and others as one of the reasons North America peoples didn’t develop a settled civilisation as quickly as Eurasia. If you read the research story this theory about an asteroid does sound plausible!
Secondly another piece of research claims that the first people to settle North America – known as the Clovis civilisation came from Europe over the Kankakee Sand Islands. Arrowheads found match exactly those found in Europe. The previous theory was that Americans came from Siberia over the Bering Strait land bridge – there are a number of genetic and cultural similarities that back up the Bering Strait theory.
It’s interesting that these two items come at the same time – the first one actually puts the second discovery into context. As well as wiping out mammoths the asteroid is also blamed for destroying the Clovis civilisation – so maybe the Clovis people did come from Europe a bit before Siberians came over the Bering Strait, but by the time they came the Clovis people weren’t around anyway. So the previous theory may still stand that North American indigenous peoples are descended from emigrants from Siberia.