No! Absolutely not. He followed God's Law as a predator follows the victim: To destroy it. If you read Romans 7:9-25, the Law served only to bring death to him. (v.8) Without the Law, Paul could live in sin without any pain of conscience but after he read about the Law, sin revived and caused his life to become unbearable to live since to live meant death to him. (v.9) Somehow, he knew that the Law is spiritual but, what could he do if he was carnal, sold under sin? (v.14) It seemed that Paul had got so accustomed to the way he used to live before that, after he found out from the Law that it was sinful, he started hating to have to live that way but he would do all the same. (v.15) Then he arrived to the conclusion of how sinful was to live that way but he could not change the sinful condition that dwelt in him. (v.17)
What had become an unbearable struggle for Paul was to love God's Law in his mind while serving the law of sin in his flesh. (v.22,23) Therefore, he considered himself a wretched man who could find no deliverance from the body of death that forced him to serve the Law of God in his mind only while serving sin in his flesh. (v. 24,25) All the above is about the famous sinful thorn on the side of Paul. Do you have any idea what could it have been? I can't be more specific here than I have been, and tell you what every thing was about Paul but, one more thing I feel allowed to add. Paul had been born on the wrong time in History. Had he been born today, he would not have to live under such sinful repressed feelings which made his life so miserable.