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No, God's sovereignty is absolute, and the way he usually works His will is through normal means, where His intervention is not obvious. For instance, when He heals someone in answer to prayer, the unsaved person would see it as just being the result of medicine, etc. even though the doctors might be amazed at the "efficacy" of their treatment. The saved person knows that all healing comes from God, who uses various instruments to accomplish His will.
By the way, in my opinion Scripture teaches clearly that there are no "faith healers" like the charlatans that we see on TV. The gift of healing (like the other miraculous gifts) was for a sign to unbelievers, especially jews, and those gifts ended after the apostolic age.
"Normal means" in the context we are talking about in your post would generally mean that God uses people who already have the intent of what He wants in their heart, and empowers them to prevail, so that person still is fully responsible for his or her actions. A perfect example of this is Judas. When he betrayed Jesus, he was doing God's will, because it was God's will that Jesus give up His life on the cross, dying for our sins. But Scripture makes it clear that Judas was held fully responsible for his actions because he was following the intent of his own heart. God in no way forced Judas to do the extremely evil act that he did.
God never forces or even tempts anyone to do evil. They make those decisions on their own.
Hopefully, that makes it a bit clearer from a Scriptural perspective.
mlsoft