Probably not quite as early as that, as that's when he built no. 1, but it may not be possible to ascertain exactly when no. 2 dates from.
It's definitely not as late as 1938, as by then the workshop he used to build his cars was being used by a boat-builder, so it must be somewhere in between 1932 and 1938; I would have thought 1933/4, but I don't actually have any evidence for that!
So I think I'll give you your point, call it solved and move it!
Well done.