Yes, but he was crucified at the behest of certain high-ranking Jews who wanted him dead. Under the doctrine that succeeding generations must bear the guilt of deeds committed by their ancestors, they must shoulder the blame. Not that I subscribe to that doctrine, because I don't. But many others do.
All of our sins (mortal and venial) caused and are responsible for Christ’s scourging, humiliations, suffering, crown of thorns, carrying of the cross and death on the cross.
If we do not accept that responsibility for our sins, then we not not understand God’s love for each one of us.
Jesus with humility chose to become man (combined with his divine nature) suffer for our sins and by His actions we are redeemed and have a chance at eternal life with God. We accept God by Baptism and Faith in His Word and by fully repenting our sins.
Ultimately, in the grand scheme of things, “someone” had to crucify Him.