Leviticus 1:3-5 English Standard Version
“If his offering is a burnt offering from the herd, he shall offer a male without blemish. He shall bring it to the entrance of the tent of meeting, that he may be accepted before the Lord. He shall lay his hand on the head of the burnt offering, and it shall be accepted for him to make atonement for him. Then he shall kill the bull before the Lord, and Aaron’s sons the priests shall bring the blood and throw the blood against the sides of the altar that is at the entrance of the tent of meeting.
Verse 2 says anyone bringing an offering. It is not specific and is implied that anyone can make an offering from a flock or herd they own. I say that because to offer an animal that does not belong to that man would be a violation of the ten commandments.
He shall select the offering. He shall bring it to the entrance. He shall lay a hand upon its head. He shall kill the offering himself.
There is no mention of anyone else until the blood is spilt and collected by the sons of Aaron who serve the Lord. They throw the blood on the sides of the altar. All this happens outside the tent of meeting.
The man offering the sacrifice is guilty of the blood. He has to make the sacrifice himself.
1 Corinthians 11:27 Whoever, therefore, eats the bread or drinks the cup of the Lord in an unworthy manner will be guilty concerning the body and blood of the Lord.
That is a connection which is personal by design.