Yes, but given the circumpolar nature of their cultural adaptation, they might not spread to the south in the same way or in the same numbers that the Beringians did.
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OTL Asians migrated to the Americas in multiple waves.
The last wave occurred about 800 years ago when the Thule Inuit migrated from Siberia. After Ghengis Khan disrupted their supply of iron , they migrated eastwards to exploit iron deposits in the Canadian Arctic. They quickly moved across the high arctic islands by umiak and dog sled. Umiaks were also handy for hunting bowhead whales. They mainly ate sea food: whales, seals, fish and birds. Until the present era, the scarcity of wood forced Thule Inuit to make boats from drift wood covered in seal skin (additive manufacturing). Thule Inuit displaced the earlier Dorset culture from the Canadian Arctic. Thule Inuit migrated during the medieval Warm Period and by 1200 AD were clashing with Greenland Norse.
Recently, archeological digs have confirmed another wave of immigration between 10,000 to 12,000 years ago. This wave of immigrants also came by boat, but they paddled southward along the mountainous coast. Remains of fishing villages have been found along the Coast of British Columbia.
As glaciers retreated from coastal fjords, migrants from Siberia floated down the coast in boats. Once settled on the coast of British Colimbia, they learned subtractive manufacturing techniques to craft massive dug-out canoes from the huge cedar trees crowding the coast.