Is any man living so righteous, that He does not need to make this petition?

No, for the Lord Jesus gave this form of prayer to His Apostles for His Church. Wherefore he who would exempt himself from this, must renounce the community of Christians. And indeed Scripture testifies to us that even the most perfect man seeking to justify himself before God in a single matter, will be found guilty in a thousand (Job 9:3). Thus the only refuge we may have is in His mercy.