Absolutely, but Christians are holy, not because they never sin, but rather because of Jesus.
Romans 3:21-24
21But now the righteousness of God without the law is manifested, being witnessed by the law and the prophets; 22Even the righteousness of God which is by faith of Jesus Christ unto all and upon all them that believe: for there is no difference: 23For all have sinned, and come short of the glory of God; 24Being justified freely by his grace through the redemption that is in Christ Jesus:
Romans 3:21-24
21But now the righteousness of God without the law is manifested, being witnessed by the law and the prophets; 22Even the righteousness of God which is by faith of Jesus Christ unto all and upon all them that believe: for there is no difference: 23For all have sinned, and come short of the glory of God; 24Being justified freely by his grace through the redemption that is in Christ Jesus:
Does it not mean that when this righteousness is subjected to the scrutiny of the law, that is is still found to be righteousness?
For if we bear the fruit of the Spirit, there is no law that will condemn us in our behaviour (Galatians 5:22-23). Which means, we become law-abiding citizens of the kingdom of heaven by virtue of the fact that we bear the Spirit's fruit.
This is a practical live that is being spoken of (1 John 3:17-18); it is even the bond of perfectness (Colossians 3:14).
Holy does mean holy, but I think you believe holiness is works-based. It isn't.