Not even close to Biblical predestination. Perhaps argue from the Scriptures?
Here are two passages which are good to examine:
Acts 2: NASB
22“Men of Israel, listen to these words: Jesus the Nazarene, a man attested to you by God with miracles and wonders and signs which God performed through Him in your midst, just as you yourselves know— 23this Man, delivered over by the predetermined plan and foreknowledge of God, you nailed to a cross by the hands of godless men and put Him to death. 24“But God raised Him up again, putting an end to the agony of death, since it was impossible for Him to be held in its power.
This one is pretty simple I'm sure you would agree. God predetermined the passion, death and resurrection of Christ. It happened at the exact time and place with the people involved. Exactly as God would have it according to His will. He also had foreknowledge of the events as this plan was before the foundations of the Earth. So God planned it and also knew it was going to happen.
Now a bit more difficult:
Acts 4: NASB
27“For truly in this city there were gathered together against Your holy servant Jesus, whom You anointed, both Herod and Pontius Pilate, along with the Gentiles and the peoples of Israel, 28to do whatever Your hand and Your purpose predestined to occur.
Picking up on the Acts 2 reference we know the arrest, passion, death and resurrection of Christ was predetermined (a plan) and with foreknowledge of God. Now look what Peter does. He connects the dots between God's plan and foreknowledge and shows there were people involved in this predetermined plan. Peter here shows the sovereign terms of Your hand and Your purpose predestined to occur.
Now we have Herod, Pontius Pilate along with the Gentiles (Roman soldiers no doubt) and the peoples of Israel are doing whatever God's hand and God's purpose predestined to occur.
Here's the questions:
Did Herod et. al. act as robots or puppets when they were doing whatever the hand of God and His purpose predestined to occur? Meaning were they being forced against their will, in some trance or under some satanic spell of sorts?
Or, were Herod et. al. making choices according to nature or bondage of the will (Romans 6)?
Or did God wait for Herod et. al. to make a free will choice and strike while the iron was hot?