Did Harley make a 125cc and a 165cc?

Yes, Harley-Davidson produced a 125cc model known as the Harley-Davidson Hummer, which was popular in the late 1940s and early 1950s. They also manufactured a 165cc model called the Harley-Davidson 165, which was part of their lightweight motorcycle lineup. Both models catered to a smaller, more entry-level market compared to their larger displacement motorcycles.