Last Adam became a life-giving spirit.

[KSA]

Originally Posted by Paul Miletus

Was there anyone saved (given and received eternal life) by the Lord Jesus at the time of John 6:63?

In fact, this was the very time that many disciples deserted the Lord Jesus on hearing that He is the "bread of life".

No, nobody received eternal life then. First of all, because of the problem of sin. But the fact that people did not receive eternal life does not mean that the Spirit was not able to give life.

Only in John 20 after the Lord Jesus resurrected from the death that He was able to give "life" to his disciples:

Agreed! But it does not mean that His resurrection changed the Holy Spirit. In His resurrection He was the first man who was glorified by the Holy Spirit.