I don't think so. But I think it shows the issue with this syllogism
Christ is God.
We are the body of Christ.
Therefore we are God.
I think the issue is that you each statement, while true, is not all of the truth. For example, Christ is God, but Christ is not all of who God is.
How about
No salvation apart from Jesus
Catholic Church is the body of Christ
Therefore no salvation apart from RCC
Is that true?