No, Satan cannot read people's mind. However, since he was here on earth since man was first created until today, he can intelligently perceive what a person is thinking, particularly those who are not in the Lord. In fact, he gives thoughts to people and people think them. In this situation, he knows the thoughts of those people.

With Christians who stay in the Presence of God, the devil cannot accurately perceive their thoughts and moves specially when they think, speak and move according to the Spirit of God. Spirit-filled Christians are a mystery to him.