1 Peter 2:24 and He Himself bore our sins in His body on the cross, so that we might die to sin and live to righteousness; for by His wounds you were healed.
Christ bore our sins. He took all our sins and nailed them to the cross. It was a specific act for a specific people, His people, the Elect, the Church!
What is the greater context of this verse? Is it talking about Christ's sacrifice nailing every person who ever lived sins to the cross? Look at the beginning of 1st Peter and you will see the context and who it was written to.
1 Peter 1:1-2 Peter, an apostle of Jesus Christ, To those who reside as aliens, scattered throughout Pontus, Galatia, Cappadocia, Asia, and Bithynia, who are chosen according to the foreknowledge of God the Father, by the sanctifying work of the Spirit, to obey Jesus Christ and be sprinkled with His blood: May grace and peace be yours in the fullest measure.
Christ bore the sins of the Elect!