Is the living bread from heaven, the same as the bread of the church communion?

Is Paul’s reference to the body and blood of Christ related to John 6:53-56?

In John 6:53 and 54, eating the flesh of the Son of Man and drinking His blood are necessary and sufficient conditions for having eternal life. That is describing what took place once; at the moment of conversion, we took the death of Christ to ourselves and received all its benefits. In verse 56, feeding on Christ and His death is characteristic of all who are saved. This, linked by some to Israel’s initial and continued eating of the Passover, is individual. "Christ our Passover is sacrificed for us" (1 Corinthians 5:7). Our redemption is individual, as is our appropriation of the Lamb. The annual Passover shares the feature of remembrance with the Lord’s Supper, but, although instituted at the Passover, it does not replace the Passover or fulfill it.

At the Lord’s Supper, the assembly unitedly blesses and partakes of the cup and bread, thus expressing the blessings they share. Being a corporate act, it is therefore distinct from what the Passover expresses and from the personal communion of which the Lord speaks in John 6:56.

In addition, John 6 speaks of eating in a spiritual sense, 1 Corinthians 10 of eating physically.

D. Oliver