I would disagree. I believe that God WILL do the simply because He ordained it:
The verse, Eph. 2:10, does not say "God ordained that He will walk in what He ordained". The verse says, He ordains, you walk.
Ordaining something is not the same as doing something. Just consult your wife's To Do list.
God wanted him to preach to Nineveh. Jonah didn't want to. Who won? Jonah did the good works that God ordained for him to do.
But God did not violate Jonah's free will. He set up a trial for Jonah and in the end Jonah chose to go and preach as God commanded. Previously, he chose not to go. Clearly he was capable of either choice.