Sure there are things God cannot do.
He cannot lie. He cannot change. He cannot be faithless and deny Himself.
Hebrews 6:17-18 17 So when God desired to show more convincingly to the heirs of the promise the unchangeable character of his purpose, he guaranteed it with an oath, 18 so that by two unchangeable things, in which it is impossible for God to lie, we who have fled for refuge might have strong encouragement to hold fast to the hope set before us.
Malachi 3:6 For I the Lord do not change; therefore you, O children of Jacob, are not consumed.
2 Timothy 2:10-13 Therefore I endure everything for the sake of the elect, that they also may obtain the salvation that is in Christ Jesus with eternal glory. 11 The saying is trustworthy, for: If we have died with him, we will also live with him; 12 if we endure, we will also reign with him; if we deny him, he also will deny us; 13 if we are faithless, he remains faithful for he cannot deny himself.
Seems like Catholicism is pretty weak on teaching the true character of God from the Bible they claim they wrote.
In fact, thank you for trying to change the topic to something not in question because it shows clearly that folks who weave their own Most High and Holy Self Worship fantasies from the Pharisee Approved Luther Subset of Scripture do not and cannot deal with the Truth of Jesus Christ and have to constantly resort to playing their little games.
What makes you think that everything God is is encompassed in scripture?