I doubt it, the correlation does not imply causation.
My hunch is that the people graduating from college are the kind of people that would find it easier to find a job anyway.
Basically, it uses men who were eligible for the Vietnam draft (who enrolled in college in greater numbers than they otherwise would have, to avoid military service) to demonstrate that success from college graduates is more than a "these people are the ones who were already going to succeed" thing.