Besides Jesus, is there any other figure in the Bible that would claim that some of the prophecies in the Scriptures were about him?
The below verses from the Gospel of John is where John the Baptist is quoting a prophecy about himself:
John 1:19-23 (NIV) Now this was John’s testimony when the Jewish leaders in Jerusalem sent priests and Levites to ask him who he was. He did not fail to confess, but confessed freely, “I am not the Messiah.”
They asked him, “Then who are you? Are you Elijah?”
He said, “I am not.”
“Are you the Prophet?”
He answered, “No.”
Finally they said, “Who are you? Give us an answer to take back to those who sent us. What do you say about yourself?” John replied in the words of Isaiah the prophet, “I am the voice of one calling in the wilderness, ‘Make straight the way for the Lord.’”
John the Baptist quoted from Isa 40:3:
Isa 40:3 (RSV) A voice cries: “In the wilderness prepare the way of the Lord, Make straight in the desert a highway for our God".
Isa 40:3 (NASB) A voice is calling, “Clear the way for the Lord in the wilderness; Make smooth in the desert a highway for our God".
Isa 40:3 (NKJV) The voice of one crying in the wilderness: “Prepare the way of the Lord; Make straight in the desert A highway for our God".
Isa 40:3 (TLB) Listen! I hear the voice of someone shouting, “Make a road for the Lord through the wilderness; make him a straight, smooth road through the desert".