The islands of Micronesia didn’t use last names until the concept was introduced by Westerners. A lot of folks from the island of Kosrae decided just to repeat their first names. There was once a photo in the government newsletter with the caption, “From left to right: Louey Louey, Asher Asher, and Jack J. Jack.” (We were afraid to ask what the J stood for.)
Louey Louey was my neighbor and so I had a few stories in which he featured. (The subduing of the coconut crab being one). After a few years living in Micronesia the repeated names sounded totally normal to me. It was only when people started giving me weird looks because I was talking matter-of-factly about Louey Louey that I remembered how strange that was.
ETA: The above is tangential, sorry. Modern occupational last names might include Programmer, Therapist, Controller, or Ciyeeo (CEO).
Carman (for a family of auto mechanics)
Would you get sued if you wanted to use Nascar as a surname?
Assembler (for a factory worker)
English classifies “bowyer” and “fletcher” as separate professions, and there are families named Bowman and Fletcher. Perhaps the construction industry would spawn families named Bulldozer, Steamroller, Dumptruck, and Backhoe.