The demons believe in Jesus, to such an extent they had to obey His commands to them. But their belief is not faith (trust) in Him so as to be saved by Him! "You believe there is one God? Good. But even the demons believe - and shudder" (James 2:19).
It is only faith in Jesus as the resurrected Son of God that will save anybody. Such faith requires knowing and believing that He died for your sins, and rose in triumph as your guarantee that you will also be raised to new life in Him. You will be born again, of the Spirit, from above, the moment you put all your faith in His finished work on the cross. That makes you an adopted child of God, part of His family.
From then on, you go on changing, to become more Christ-like. You then start to do the good works God had foreordained you would do, for His glory (not to be saved, because you are already saved by grace alone). Once you are saved, you then start out on the Christian life. But, tragically, most people think that striving to be a Christian is what will eventually save you. They say "Yes, you must have faith in Christ, but..." then add things to that. This means they believe what Jesus achieved on the cross was insufficient. It also means that they think they need to merit God's approval, or to contribute to a degree towards salvation, to earn a place in God's system.
The moment anyone adds anything to the completed work of Christ in saving sinners, they have wrecked the gospel of grace. A person has to be saved first, by the grace of God, and then they go on to live a changed life that glorifies God, by the power of the indwelling Holy Spirit. Read Romans chapter 3 through to the end of chapter 8 to grasp this. Change your word 'belief' to 'faith' and then the answer to your Q is 'Yes'.