As a Calvinist, I believe God predestines all events, in both ways direct and indirect.
God directly predestined the Flood of Noah when He chose to flood the world with His supernatural powers; He indirectly predestined the crucifixion and death of His Son when He deliberately had him born to Virgin Mary and deliberately arranged things as to ensure that the Jews and Romans would have Him crucified, by putting them in such situations knowing what they would do, without causing them to do it directly (as God causes no one to sin).
Acts 2:22-23 "“Men of Israel, hear these words: Jesus of Nazareth, a Man attested by God to you by miracles, wonders, and signs which God did through Him in your midst, as you yourselves also knom—Him,
being delivered by the determined purpose and foreknowledge of God, you have taken by lawless hands, have crucified, and put to death;
Acts 4:27-28 "“For truly against Your holy Servant Jesus, whom You anointed, both Herod and Pontius Pilate, with the Gentiles and the people of Israel, were gathered together to do
whatever Your hand and Your purpose determined before to be done.
Isaiah 46:9-11 "
Remember the former things of old,
For I am God, and there is no other;
I am God, and there is none like Me,
Declaring the end from the beginning,
And from ancient times things that are not yet done,
Saying, ‘My counsel shall stand,
And I will do all My pleasure,’
Calling a bird of prey from the east,
The man who executes My counsel, from a far country.
Indeed I have spoken it;
I will also bring it to pass.
I have purposed it;
I will also do it.
Daniel 4:35 "All the inhabitants of the earth are reputed as nothing;
He does according to His will in the army of heaven
And among the inhabitants of the earth.
No one can restrain His hand
Or say to Him, “What have You done?”
Proverbs 19:21 "There are many plans in a man’s heart,
Nevertheless the Lord’s counsel—that will stand."
Proverbs 21:1 "The king’s heart is in the hand of the Lord,
Like the [a]rivers of water;
He turns it wherever He wishes."
Ephesians 1:11 - God works "who works all things according to the counsel of His will"
So, ultimately, yes, that child being abused is part of God's sovereign plan that He has set in motion from eternity and actively carries out in the here and now. This isn't to say that God caused that young child's abuse at the hands of his abuser, for the Scripture says that God "tempts no one" to sin (James 1:13).
Hope that helped!