No doubt about it. But we need to understand what Christ said when asked what works meant.
Then said they unto him, What shall we do, that we might work the works of God? Jesus answered and said unto them, This is the work of God, that ye believe on him whom he hath sent. John 6:28-29
Then we need to understand that even the faith we have is the faith OF Christ within us and some faith we have on our own.
Philippians 3:9 And be found in him, not having mine own righteousness, which is of the law, but that which is through the faith of Christ, the righteousness which is of God by faith:
It is Christs faith instilled in us not our own.
A man is sitting in his home watching the Super Bowl. A friend come running in the door and screams, "Get out now, your house is on fire."
If the man continues to sit there:
1. He is lazy or.. 2. He believes his friend, but doesn't have the faith (belief)in his friend to act on what he has been told.
To say I believed my friend last year, but will not act on what he says today is quite frankly unbelief.