Of course not. It's not as if Paul would ever write anything like this:
But in accordance with your hardness and your impenitent heart you are treasuring up for yourself wrath in the day of wrath and revelation of the righteous judgment of God, who “will render to each one according to his deeds”: eternal life to those who by patient continuance in doing good seek for glory, honor, and immortality; but to those who are self-seeking and do not obey the truth, but obey unrighteousness—indignation and wrath, tribulation and anguish, on every soul of man who does evil, of the Jew first and also of the Greek; but glory, honor, and peace to everyone who works what is good, to the Jew first and also to the Greek. For there is no partiality with God.
Of course not. It's not as if Paul would ever write anything like this:
Paul recognizes the truth of POTS. He acknowledges the fact that those who do no works are not saved. He is not talking causality, or else we have to throw out the theology he otherwise lays out in his writings. In your quote, Paul is exhorting that we check ourselves to make sure we are not false believers, to make sure we are not going to be of the "Lord, Lord" crowd. If we do so honestly, and find that we are slaves to sin, then we need to come to Christ for the first time (for real). Paul appears to clearly suspect that his immediate audience is in that group.