That represents the belief of Protestant Christianity. Catholic Christianity understands it differently.
The cup of blessing that we bless, is it not a participation in the blood of Christ? The bread that we break, is it not a participation in the body of Christ? 1Cor 16
The anamnesis, by which the Church, fulfilling the command that she received from Christ the Lord through the Apostles, celebrates the memorial of Christ, recalling especially his blessed Passion, glorious Resurrection, and Ascension into heaven.
Whoever eats* my flesh and drinks my blood has eternal life, and I will raise him on the last day.
For my flesh is true food, and my blood is true drink.
Whoever eats my flesh and drinks my blood remains in me and I in him. Jn 6
I can understand a Catholic believing that but I don't think that what Jesus said in John 6 means that the bread and wine are transformed into the body and blood of Jesus. If it meant that then the Catholic Church would really be teaching that those who are not Catholic and who do not have the Catholic Communion (or High Church of England Communion since it seem their priests also have power to transform the bread and wine) have no life in them. I get this from verse 53 below.
When I read on I see that Jesus was not speaking about eating His real body and blood (ie no need for transubstantiation) but was referring to taking in His words (Himself being the Word of God) and believing them and acting on them, which I guess is what Jesus meant.
John 6:53 Jesus said to them, “Very truly I tell you, unless you eat the flesh of the Son of Man and drink his blood, you have no life in you. 54 Whoever eats my flesh and drinks my blood has eternal life, and I will raise them up at the last day. 55 For my flesh is real food and my blood is real drink. 56 Whoever eats my flesh and drinks my blood remains in me, and I in them. 57 Just as the living Father sent me and I live because of the Father, so the one who feeds on me will live because of me. 58 This is the bread that came down from heaven. Your ancestors ate manna and died, but whoever feeds on this bread will live forever.” 59 He said this while teaching in the synagogue in Capernaum.
60 On hearing it, many of his disciples said, “This is a hard teaching. Who can accept it?”
61 Aware that his disciples were grumbling about this, Jesus said to them, “Does this offend you? 62 Then what if you see the Son of Man ascend to where he was before! 63 The Spirit gives life; the flesh counts for nothing. The words I have spoken to you—they are spirit and life.