What would be surprising that NASA would need a wrench like that? I'd guess they have 10 X the fasteners involved with the support and launch equipment compared to the launched vehicles. Not everything NASA does gets sent to space.
My guess is it doesn't have anything to do with the space agency. It looks as though it could be from the 1950s or earlier, and NASA didn't exist until 1958 (before that it was called NACA.)
From time to time I come across maybe one or two wrenches with the Nasa mark; I never gave much thought to the company that made them. After looking at a bazillion different names you start to just look for the names that are of interest to you.