No, we do not. Scripture explains that we eat and drink the body and blood of our Lord along with the bread and wine (Matthew 26:26-28; Mark 14:22-24; Luke 22:19-20; 1 Corinthians 11:23-25). We do best to stay with the wording of Scripture.
Your question addresses the subject of “Capernaitic” eating—a reference to John 6:43-59, where some people in Capernaum misunderstood Jesus’ words about receiving him in faith (eating his flesh and drinking his blood) and took them literally in a cannibalistic sense.
When we partake of the Lord’s Supper, we receive the Lord’s body and blood, along with the bread and wine, in a way that we cannot understand but accept in faith.
Interestingly enough, the Lutheran Confessions address your question because of errors that were prevalent in the 16th century. Here are just a few citations:
“1. We believe, teach, and confess that in the Holy Supper the body and blood of Christ are truly and essentially present, and are truly distributed and received with the bread and wine.” (Formula of Concord, Epitome, Affirmative Theses)
“6. We believe, teach, and confess that the body and blood of Christ are received with the bread and wine, not only spiritually by faith, but also orally; yet not in a Capernaitic, but in a supernatural, heavenly mode, because of the sacramental union; as the words of Christ clearly show, when Christ gives direction to take, eat, and drink…” (Formula of Concord, Epitome, Affirmative Theses)
“21. Hence we hereby utterly [reject and] condemn the Capernaitic eating of the body of Christ, as though [we taught that] His flesh were rent with the teeth, and digested like other food, which the Sacramentarians, against the testimony of their conscience, after all our frequent protests, willfully force upon us, and in this way make our doctrine odious to their hearers; and on the other hand, we maintain and believe, according to the simple words of the testament of Christ, the true, yet supernatural eating of the body of Christ, as also the drinking of his blood, which human senses and reason do not comprehend, but as in all other articles of faith our reason is brought into captivity to the obedience of Christ, and this mystery is not apprehended otherwise than by faith alone, and revealed in the Word alone.” (Formula of Concord, Epitome, Negative Theses)