Romans 8 says otherwise.
With the arrival of Jesus, the Messiah, that fateful dilemma is resolved. Those who enter into Christ's being-here-for-us no longer have to live under a continuous, low-lying black cloud. A new power is in operation. The Spirit of life in Christ, like a strong wind, has magnificently cleared the air, freeing you from a fated lifetime of brutal tyranny at the hands of sin and death. God went for the jugular when he sent his own Son. He didn't deal with the problem as something remote and unimportant. In his Son, Jesus, he personally took on the human condition, entered the disordered mess of struggling humanity in order to set it right once and for all. The law code, weakened as it always was by fractured human nature, could never have done that. The law always ended up being used as a Band-Aid on sin instead of a deep healing of it. And now what the law code asked for but we couldn't deliver is accomplished as we, instead of redoubling our own efforts, simply embrace what the Spirit is doing in us. Those who think they can do it on their own end up obsessed with measuring their own moral muscle but never get around to exercising it in real life. Those who trust God's action in them find that God's Spirit is in them--living and breathing God! Obsession with self in these matters is a dead end; attention to God leads us out into the open, into a spacious, free life. Focusing on the self is the opposite of focusing on God. Anyone completely absorbed in self ignores God, ends up thinking more about self than God. That person ignores who God is and what he is doing. And God isn't pleased at being ignored.
(Romans 8:1-8)