No.
Then again, we had a guest worker program so that it was a great deal easier for workers from Mexico to come here and work legally than to sneak across the border illegally. They could even go home at the end of their job, and come back when a new job was available.
We didn't have a large-scale illegal immigration problem until 1965.
Which just happens to be when the guest worker program was terminated.
I submit that the two events are connected.