I prefer the NIV version. It is more clear:
[22And 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.
]
So, what exactly are you talking about?
The text is very clear that it was still completely possible for Adam ( after eating from the tree of knowledge ) to eat from the tree of life and still be granted an everlasting life. Which is why God banished Adam and Eve from the garden, so they wouldn't be able to do so.