GE:
No. It simply does not say, "born after the Spirit", but "out of" (ek) the Spirit". The man who would 'walk / live / obey after / according to (kata) the Spirit', would do so because he has been "born of the Spirit".
John 3 says "of" and Gal 4 says "after". Two different meanings. You are simply adding your own thoughts that one must accompany the other.
I believe the context of Gal 4 points to "man's plan" verses "God's plan" rather than an individual regeneration of the Spirit and this is why it says "after" rather than "of".
I could be wrong, but if this is all you got to support regeneration prior to Jesus' glorification it is a very weak argument in my opinion. John 7:38-39 is just to hard to dismiss.