No, in light of 2 Peter 1:3-4..."According as his divine power hath given unto us all things that pertain unto life and godliness, through the knowledge of him that hath called us to glory and virtue:
4 Whereby are given unto us exceeding great and precious promises: that by these ye might be partakers of the divine nature, having escaped the corruption that is in the world through lust."
By knowledge of the existence of Jesus Christ, and of who He was, and what He was capable of, I was able to overcome my old natural man.
The folks Paul cited from Psalms didn't have access to that knowledge.
They were indeed "natural" men with no escape.
I am not a natural man without knowledge of the Lord Jesus Christ.
Faith cometh by hearing, (Rom 10:17).
I count it a blessing that I have been privy to something the OT men David characterized did not have.
Knowledge of Jesus Christ.
Again, none of that applies to the natural man. As natural men our plight is described in Rom 3:9-19
9 What then? are we better than they? No, in no wise: for we have before proved
both Jews and Gentiles, that they are all under sin;
10 As it is written, There is none righteous, no, not one:
11 There is none that understandeth, there is none that seeketh after God.
12 They are all gone out of the way, they are together become unprofitable; there is none that doeth good, no, not one.
13 Their throat is an open sepulchre; with their tongues they have used deceit; the poison of asps is under their lips:
14 Whose mouth is full of cursing and bitterness:
15 Their feet are swift to shed blood:
16 Destruction and misery are in their ways:
17 And the way of peace have they not known:
18 There is no fear of God before their eyes.
19 Now we know that what things soever the law saith, it saith to them who are under the law: that every mouth may be stopped, and all the world may become guilty before God.
The natural man is under sin, under its dominion and power !