As a mere man no, but as head of the Church yes, because he is aided by the Holy Spirit who teaches all truth.
"The Dogma of Papal Infallibility flows from the Incarnation. 'Either God has revealed Himself to us, giving us a lasting message of truth, and provided that this truth be preserved secure and certain through an office capable of teaching the truth without error, or He has not revealed Himself at all, at least not definitively and once and for all in Christ.' Wegpage: Irish, Catholic, and Dangerous (Appendix) The truths of faith are necessary for the unity of the Body of Christ on earth. Christ prayed for this unity thus, "I pray not only for them, but also for those who will believe in me through their word, so that they may all be one, as you, Father, are in me and I in you, that they also may be in us, that the world may believe that you sent me." (Jn 17:20-21) Without infallibility the Church would degenerate into a political power destined to be destroyed by the ravages of human error and Christ's promise "And behold, I am with you always, until the end of the age."(Mt 28:20) would become null and void.
Cardinal Joseph Ratzinger, now Pope Benedict XVI, former prefect of the Congregation of the Doctrine of the Faith in a 1998 publication spells out some of the limitations of infallibility -- "The Roman Pontiff - like all the faithful - is subject to the Word of God, to the Catholic faith, and is the guarantor of the Church's obedience; in this sense he is servus servorum Dei. He does not make arbitrary decisions, but is spokesman for the will of the Lord, who speaks to man in the Scriptures lived and interpreted by Tradition; in other words, the episkope of the primacy has limits set by divine law and by the Church's divine, inviolable constitution found in Revelation. The Successor of Peter is the rock which guarantees a rigorous fidelity to the Word of God against arbitrariness and conformism: hence the martyrological nature of his primacy."
Although the Church has from its beginning opposed heresy and taught the true faith, the former definition of Infallibility came with First Vatican Council in 1870. #1839 And so We, adhering faithfully to the tradition received from the beginning of the Christian faith, ... teach and explain that the dogma has been divinely revealed: that the Roman Pontiff, when he speaks ex cathedra, that is, when carrying out the duty of the pastor and teacher of all Christians by virtue of his supreme apostolic authority he defines a doctrine of faith or morals to be held by the universal Church, through the divine assistance promised him in blessed Peter, operates with that infallibility with which the divine Redeemer wished that His church be instructed in defining doctrine on faith and morals; and so such definitions of the Roman Pontiff from himself, but not from the consensus of the Church, are unalterable."
Papal infallibility is broader than the occasional proclamation of a dogma such as the Assumption of Mary by Pope Pius XII or the canonization of saints. It covers the solemn teaching authority of the Church in all ages such as the truths spelled out by Church Councils with the approval of the Pope. (John A. Hardon, S.J. The Catholic Catechism, Doubleday & Co., Inc., 1975, p. 231)
So, there is nothing to fear from the infallibility of the Pope. If you are inclined not to accept infallibility it can only be due either to ignorance or pride, that insidious voice in your soul which says, "No one can tell me what to believe". Yes, you have the freedom of choice but this freedom is given so that you may freely choose the truth because the truth will make you truly free.
5. Authority Defines the Nature of Christ