No, the rock upon which He built was the faith within Peter. The same faith of Christ and believers today. Without it, no matter how obedient to the Church, nor how studied one becomes, it will still count for lacking in righteousness in final judgment.
Meanwhile, through faith in Christ we all have the ability to resist temptation.
"[T]he great antiquity and the Palestinian origin of the section may today be considered beyond question. This is shown by the quite Semitic linguistic character of this section. On this point, in fact, almost all scholars are united, whether they accept or reject genuineness." (O. Cullmann, Peter: Disciple-Apostle-Martyr trans. F. V. Filson [Philadelphia: Westminster, 1953], 185) Elsewhere, Cullmann points not only to the pun -- "You are Rock, and on this rock. . ." indicating that both words were the same when originally uttered, thus, "You are Kepha, and on this kepha. . ." -- but also to such Semitisms as the designation of Peter as bar-yinh, the expression "flesh and blood" to mean "men," and the characteristically Semitic phrase "bind and loose" as evidence that this section was originally uttered in Aramaic (Theological Dictionary of the New Testament, 6:106).
*Cephas means Rock. Cephas is Peter. Peter is Rock.
When Jesus first met Simon Bar Joans, Jesus told him he would change his name to Rock. That was not insignificant as name changes (Abram to Abraham) implied a change in authority, responsibilities etc
"The orthodox Catholic view has been the simple and literal one -- that the rock was Peter (Kepha in both cases). But it was also held by some of the Fathers that it was the confession which Peter made --"thou art Christ, the son of the living God" -- which was the cornerstone of the Church, since upon that belief the new religion was in reality based. This view was especially seized upon by the Fathers who were disputing with the bishop of Rome or with the heretics who denied the orthodox statement of Christ's divinity. Peter's confession, ratified so emphatically by Jesus, was the strongest text they had. In course of time, however, as the creed was settled, the literal meaning became the common one, exalting the "fisherman's chair" above the other apostolic foundations as the historical embodiment of Christ's promise. This was not seriously challenged until the Protestant theologians found the text, as commonly accepted, a stumbling block in their denial of papal claims."