Could something like impressment return if a war became desperate?
Short answerThe modern equivalent would be national service or conscription, not a restoration of the historical press gang.
NotesA state facing extreme attrition could compel service through modern national-service institutions. Britain's call-ups in the First and Second World Wars are offered as examples of that institutionalized form of compulsion. This separates a historical maritime recruiting practice from broader modern conscription. Reserves can also give people more influence over their service branch before a crisis.