...That's called a Carpenter or Pottery.
And that's not me limiting blacksmithing to just weapons and armor, any form of metal work can debatebly be labeled under the profession. You could make sub classes of gold, silver, and copper smiths. Even something of a stretch like Glass Smith.
Second, what is up with these "The Bullies in High School were wrong about me" mentality. What's the point in making a guy who could repair if not craft entirely new weapons in a world where such a skill is not needed (at first, can't wait for some to actually break their shit and come begging for MC to smash them with his hammer-I know what I said) especially when your audience knows damn well that his job is far from useless before they even read the story because no shit.
It's like: Not everyone is trying to become an Adventure. For Societies to form and create a functional economy, you need more people geared towards production than destruction. The percentage of people you need to specialized in violence can be as low as 10%, after that the market should be were the desire goes next.