No....no it doesnt. You have to remember, this is all reference to the misbehavior of believers in chapter 1
I don't see that in the context, that natural men are merely misbehaving believers. Of believers Paul said,
Rom. 8:7 The mind governed by the flesh is hostile to God; it does not submit to God’s law, nor can it do so. 8 Those who are in the realm of the flesh cannot please God. 9 You, however, are not in the realm of the flesh but are in the realm of the Spirit, if indeed the Spirit of God lives in you. And if anyone does not have the Spirit of Christ, they do not belong to Christ.
The natural man designation is someone who cannot hear the things of God and considers them foolish, and Paul is clear the believer cannot be this man. "You, however, are not in the realm of the flesh but are in the realm of the Spirit, if indeed the Spirit of God lives in you."
The natural mans considers the things of God "foolishness, and cannot understand them because they are spiritually discerned."
Those who have the Spirit, according to Paul, cannot be in the realm of the flesh like this. They are in the realm of the Spirit. Natural or unspiritual is definitely not a believing term.
James 3:15 Such “wisdom” does not come down from heaven but is earthly, unspiritual, demonic.
Jude 19 These are the people who divide you, who follow mere natural instincts and do not have the Spirit.
Jude 19 These are the people who divide you, who follow mere natural instincts and do not have the Spirit.