Is the feast of 1 Corinthians 5:8 the same feast as 1 Cor 11? Is the feast of 1 Corinthians 5:8 the same feast as 1 Cor 11?

Therefore let us keep the feast, not with old leaven, nor with the leaven of malice and wickedness, but with the unleavened bread of sincerity and truth. (1 Corinthians 5:8 NKJV)

compared to

For I received from the Lord that which I also delivered to you: that the Lord Jesus on the same night in which He was betrayed took bread; 24 and when He had given thanks, He broke it and said, “Take, eat; this is My body which is broken for you; do this in remembrance of Me.” 25 In the same manner He also took the cup after supper, saying, “This cup is the new covenant in My blood. This do, as often as you drink it, in remembrance of Me.”
26 For as often as you eat this bread and drink this cup, you proclaim the Lord’s death till He comes.
27 Therefore whoever eats this bread or drinks this cup of the Lord in an unworthy manner will be guilty of the body and blood of the Lord. 28 But let a man examine himself, and so let him eat of the bread and drink of the cup. 29 For he who eats and drinks in an unworthy manner eats and drinks judgment to himself, not discerning the Lord’s body. 30 For this reason many are weak and sick among you, and many sleep. 31 For if we would judge ourselves, we would not be judged. 32 But when we are judged, we are chastened by the Lord, that we may not be condemned with the world.
33 Therefore, my brethren, when you come together to eat, wait for one another. 34 But if anyone is hungry, let him eat at home, lest you come together for judgment. And the rest I will set in order when I come.
Short answer: no

David's comment is correct, the bread referred to in 1 Corinthians 5 is not the bread of the Lord's supper, but the lives of the believers themselves which should be unleavened by immorality (verses 6-8).  Paul extends the metaphor to a feast by including Christ as our Passover lamb (verse 7)