Yes, he is the 2nd person of the Trinity, after all. God gives earthly authority to whom he wishes. That power is now vested in the Catholic Church to fulfill the Great Commission.
Mind pointing toward some scripture?
I see Matt 3:13-17:
13Then cometh Jesus from Galilee to Jordan unto John, to be baptized of him.
14But John forbad him, saying, I have need to be baptized of thee, and comest thou to me?
15And Jesus answering said unto him, Suffer it to be so now: for thus it becometh us to fulfil all righteousness. Then he suffered him.
16And Jesus, when he was baptized, went up straightway out of the water: and, lo, the heavens were opened unto him, and he saw the Spirit of God descending like a dove, and lighting upon him:
17And lo a voice from heaven, saying, This is my beloved Son, in whom I am well pleased.
Then Mark 1:9-11
9And it came to pass in those days, that Jesus came from Nazareth of Galilee, and was baptized of John in Jordan.
10And straightway coming up out of the water, he saw the heavens opened, and the Spirit like a dove descending upon him:
11And there came a voice from heaven, saying, Thou art my beloved Son, in whom I am well pleased.
Then Luke 3:21-22
21Now when all the people were baptized, it came to pass, that Jesus also being baptized, and praying, the heaven was opened,
22And the Holy Ghost descended in a bodily shape like a dove upon him, and a voice came from heaven, which said, Thou art my beloved Son; in thee I am well pleased.
And John 1:32-34
32And John bare record, saying, I saw the Spirit descending from heaven like a dove, and it abode upon him.
33And I knew him not: but he that sent me to baptize with water, the same said unto me, Upon whom thou shalt see the Spirit descending, and remaining on him, the same is he which baptizeth with the Holy Ghost.
34And I saw, and bare record that this is the Son of God.
So am I missing something?