That certainly appears to be one of the stories there, RR. I'm not enough of a Bible fan to know which creation story is which ("priestly" or that other one, I mean), but look at the following bit:
22 And the LORD God said, "The man has now become like one of us, knowing good and evil. He must not be allowed to reach out his hand and take also from the tree of life and eat, and live forever." 23 So the LORD God banished him from the Garden of Eden to work the ground from which he had been taken. 24 After he drove the man out, he placed on the east side [e] of the Garden of Eden cherubim and a flaming sword flashing back and forth to guard the way to the tree of life.
This bit is not much in sequence with the piece you quoted - particularly v22. Might it be that you get to pick the interpretation you like better?