It's probably even more nuanced than that, though. My parents both attended very small schools in small towns, and both offered shop classes. All four schools mentioned were / are located in the Midwest, though, and none in large cities.
If I had to guess, I'd say probably the majority of schools in the US offer some form of shop class(es). But I don't believe any would necessarily be part of the standard curriculum. Generally, these classes are elective.