A "simple" reading of the text in the KJV English leads us astray. With a little digging you will see that the term unworthy does not mean what you are inferring for yourself. We tend to forget the implications of reading without understanding.
1Co 11:27 WhereforeG5620 whosoeverG3739 G302 shall eatG2068 thisG5126 bread,G740 andG2228 drinkG4095 this cupG4221 of theG3588 Lord,G2962 unworthily,G371 shall beG2071 guiltyG1777 of theG3588 bodyG4983 andG2532 bloodG129 of theG3588 Lord.G2962
1Co 11:28 ButG1161 let a manG444 examineG1381 himself,G1438 andG2532 soG3779 let him eatG2068 ofG1537 that bread,G740 andG2532 drinkG4095 ofG1537 that cup.G4221
1Co 11:29 ForG1063 he that eatethG2068 andG2532 drinkethG4095 unworthily,G371 eatethG2068 andG2532 drinkethG4095 damnationG2917 to himself,G1438 notG3361 discerningG1252 theG3588 Lord'sG2962 body.G4983
G371
ἀναξίως
anaxíōs; adv. from anáxios (G370), unworthy. Unworthily, irreverently, in an unbecoming manner (1Co_11:27, 1Co_11:29), treating the Lord's Supper as a common meal without attributing to it and its elements their proper value.
Ant.: eusebṓs (G2153), piously, reverently.
(Moffatt NT)11:27 Hence anyone who eats the loaf or drinks the cup of the Lord carelessly, will have to answer for a sin against the body and the blood of the Lord.
(AMPC) So then whoever eats the bread or drinks the cup of the Lord in a way that is unworthy [of Him] will be guilty of [profaning and sinning against] the body and blood of the Lord.
(BBE) If, then, anyone takes the bread or the cup of the Lord in the wrong spirit, he will be responsible for the body and blood of the Lord.
(Complete Apostles' Bible) Therefore whoever eats this bread or drinks this cup of the Lord irreverently will be guilty of the body of the Lord and of the blood of the Lord.
(GNB) It follows that if one of you eats the Lord's bread or drinks from his cup in a way that dishonors him, you are guilty of sin against the Lord's body and blood.
(GW) Therefore, whoever eats the bread or drinks from the Lord's cup in an improper way will be held responsible for the Lord's body and blood.
(WEBA) Therefore whoever eats this bread or drinks the Lord’s cup in a way unworthy of the Lord will be guilty of the body and the blood of the Lord.
What Paul is referring to is addressed in the beginning of the passage where he rebuked some of the Corinthians for coming to the communion table without regard to it's purpose and eating and drinking as though it was a common meal. They had no more regard for the participation than sitting down to lunch and eating a peanut butter and jelly sandwich.
We are a needy people, who need forgiveness and cleansing to be acceptable in the sight of God.
You can make yourself worthy of punishment:
Heb 10:28,29 He that despised Moses' law died without mercy under two or three witnesses:
29 Of how much sorer punishment, suppose ye, shall he be thought worthy, who hath trodden under foot the Son of God, and hath counted the blood of the covenant, wherewith he was sanctified, an unholy thing, and hath done despite unto the Spirit of grace?
The sin of assuming that we can make ourselves worthy of his body and blood is tantamount to that of Nadab and Abihu:
Lev 10:1 And Nadab and Abihu, the sons of Aaron, took either of them his censer, and put fire therein, and put incense thereon, and offered strange fire before the LORD, which he commanded them not.
2 And there went out fire from the LORD, and devoured them, and they died before the LORD.
3 Then Moses said unto Aaron, This is it that the LORD spake, saying, I will be sanctified in them that come nigh me, and before all the people I will be glorified. And Aaron held his peace.
Rom_3:10 As it is written, There is none righteous, no, not one:
Isa_64:6 But we are all as an unclean thing, and all our righteousnesses are as filthy rags; and we all do fade as a leaf; and our iniquities, like the wind, have taken us away.
So I ask the question again, "Who can make himself worthy?" The fact that we are not worthy and can do nothing to make ourselves worthy is the very reason that we need the sacrifice of Christ to cleanse us from all unrighteousness.
2Co 5:21 For he hath made him to be sin for us, who knew no sin; that we might be made the righteousness of God in him.
Purpose of communion demonstrates that we are NOT WORTHY and in need of forgiveness which has been provided to us through the sacrifice of Jesus the Christ for us and communion is to be a reminder of that fact, which too often we get reversed, thinking that we can somehow make ourselves worthy of his sacrifice.
Eph 2:8 For by grace are ye saved through faith; and that not of yourselves: it is the gift of God:
9 Not of works, lest any man should boast.
10 For we are his workmanship, created in Christ Jesus unto good works, which God hath before ordained that we should walk in them.
Again I ask, which of you can make yourself worthy of the body and blood of Christ?