Apparently yes, for most of that time period. "A reconstruction of the sea-level history of the region indicated that a seaway existed from c. 135,000 – c. 70,

Apparently yes, for most of that time period. "A reconstruction of the sea-level history of the region indicated that a seaway existed from c. 135,000 – c. 70,000 BP, a land bridge from c. 70,000 – c. 60,000 BP, intermittent connection from c. 60,000 – c. 30,000 BP, a land bridge from c. 30,000 – c. 11,000 BP, followed by a Holocene sea-level rise that reopened the strait.[22][23] Post-glacial rebound has continued to raise some sections of coast." https://en.wikipedia.org/wiki/Beringia#Geography https://en.wikipedia.org/wiki/Beringia#Geography