YES!!!
In Jonah 3 God sent Jonah to Nineveh with the message that in 40 days Nineveh SHALL BE overthrown.
From Jer 18:8 God has promised that "If that nation, against whom I have pronounced, turn from their evil, I will repent of the evil that I thought to do unto them." God also promised "If it do evil in my sight, that it obey not my voice, then I will repent of the good, wherewith I said I would benefit them." v10 God cannot break His promises and lie.
Upon hearing Jonah, the king of Nineveh lead the city to repent, they turned from their evil. And God did as He said He would do in Jer 18:8 in Jonah 3:10 "And God saw their works, that they turned from their evil way; and God repented of the evil, that he had said that he would do unto them; and he did it not."
Nineveh of its own freewill chose to repent, turned from its evil. So God repented, changed, altered His course of action from overthrowing Nineveh as He said He would in Jonah 3:4.
A second point I would add is the bible expresses God's will in at least 3 different ways:
1) God's permissive will where God simply allows some thing to happen. In Rom 1:24ff Gentiles chose of their own freewill to do that which was evil and God allowed them to do so, God "gave them up" permitting them pursue the evil they chose to do.
2) God's decretive will. When God created the universe He decreed it into existence, no one can thwart what God decrees.
3) God's perceptive will, unlike what God decrees, His perceptive will is what God desires, wishes men would do. God made salvation available to man through Christ, so God desires, wishes all men would obey by repenting and be saved 2 Pet 3:9; Heb 5:9. Unlike God's decretive will, God does not always get what His perceptive will wishes men would do, as in Mt 23:37, Christ "would" but those Jews "would not".
Therefore when you speak of God's will, it must be understood within the context which of these three is being expressed.