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“Peace, Hester, peace!” replied the old man, with gloomy sternness. “It is not granted me to pardon. I have no such power as though tallest me of. (…) Ye that have wronged me are not sinful, save in a kind of typical illusion; neither am I fiendlike, who have snatched a fiend’s office from his hands. It is our fate. Let the black flower blossom as it may. Now go thy ways, and deal as thou wilt with yonder man.” (14.32)
Okay, since the evil Chillingworth obviously thinks that he and everyone else are ruled by fate, we're going to go out on a limb and say that Hawthorne is coming down on the side of free will. He totally does have control of his actions.