Merchant or trader
Copen is likely a shortened form of Copenhagen, the capital of Denmark, which derives from the Old Norse 'Kaupmannahofn' meaning 'merchants' harbor.' It may also function as a rare surname-turned-first-name with English occupational roots.
Less common today
Copen isn't in the latest US Top 1000. It last peaked at #6,672 in 2015.
US births per 5-year period, 1990βpresent (SSA data).