I wrote this comment in response to a question asked 36 days ago, and have updated it slightly.

Yes, there has been extensive and continuous contact across the Bering Strait as far back as the archaeological record goes. Dorothy Jean Ray's The Eskimos of Bering Strait, 1650-1898 deals with the historical period of this cross-strait contact, but we know thanks to genetic, linguistic and archaeological research that contact has been maintained for thousands, if not tens of thousands of years. It is entirely possible that an unbroken chain of contact may stretch back to before the previous ice age.

The issue for modern scholarship is to determine is how far that cross-strait contact spread. In 2011, a portion of a cast bronze buckle-like object and a tube-shaped bronze bead were uncovered in an 11th-century home excavated at Cape Espenberg in northwest Alaska. These are the first bronze objects dated to Alaska's prehistoric period, and radiocarbon dating of a piece of leather wrapped around the buckle-like object turned up a domain of about 600 AD. Tests published this summer confirmed that the objects come from east Asia.

Was this a relic of hand-to-hand trading from east Asia, or was it the remnant of more reliable trading routes? Does the mythical Strait of Anian have its origins with fourth-hand accounts of the Bering Strait?

We don't know.

As this question is mainly concerned with pre-history, you may want to ask this in r/anthropology as well.