Yes. Christ suffered under the evil of this World by the predetermined plan of God. God was pleased to crush Him, to put Him to grief. He not o ly lay down His own life but the Father sent Him. He came to do the will of the Father. The World esteemed Him stricken by God when in fact He was redeeming them.The Jewish people and their leaders who shouted "crucify!" and also the Romans had the exactly same purpose as God: the death of the Lord Jesus Christ.
"For truly, against Your holy Servant Jesus who You anointed, both Herod and Pontius Pilate with the Gentiles and the people of Israel gathered together to do whatever Your hand and Your purpose determined before to be done." Quite unwittingly they were following the will of God.
The difference of course is described in Genesis 50:20. "But as for you, you meant evil against me, but God meant it for good, in order to bring it about as it is this day, to save many people alive."
With respect to this, Joseph had no hesitation in describing the sufferings inflicted upon him as coming from God. "So now it was not you who sent me here, but God" (Genesis 45:8). Now strictly speaking it was neither the brothers nor God who got Joseph to Egypt but the Ishmaelite traders, but Joseph recognizes the guiding hand of God and ascribes the whole thing to Him just as Isaiah does in Isaiah 53:10.
This is one way we know Penal Substitution Theory is a false doctrine.