No. The Catholic Church was built by Christ and upon Christ before a line of the New Testament was written. She received her doctrine immediately from the lips of Christ, and is safeguarded from error in her teaching by the Holy Spirit. Between 40 and 80 years after her foundation, some of her members wrote the Books of the New Testament. If the Gospels were the only rule of faith, then before they were written there could have been no Christian rule of faith at all!
Radio Replies Volume 1 by Rev. Dr. Leslie Rumble MSC and Rev. Charles Mortimer Carty