2,721 Born in Greece - Passenger and Crew Lists, 1908-1958, North Carolina, Wilmington and Morehead City - FREE Access
FamilySearch.org has a FREE database titled NORTH CAROLINA, WILMINGTON AND MOREHEAD CITY PASSENGER AND CREW LISTS, 1908-1958. There are 2,721 people listed as being born in Greece.
You will be able to view the actual Passenger Manifest.
RECORD DESCRIPTION from Family Search