Yes. (5 references)
And so, because he was a prophet and knew that God had sworn to him with an oath to seat one of his descendants on his throne, …
Acts 2:30 NASB
… concerning His Son, who was born of a descendant of David according to the flesh,
Romans 1:3 NASB
No. (2 comparable references)
42 “What do you think about the Christ, whose son is He?” They said to Him, “The son of David.”
43 He said to them, “Then how does David in the Spirit call Him ‘Lord,’ saying,
44 ‘The Lord [JHWH] said to my Lord [ADONAI],
“Sit at My right hand,
Until I put Your enemies beneath Your feet”’?
45 If David then calls Him ‘Lord,’ how is He his son?”
Matthew 22:42-45 NASB
Intro
Many people knew the Psalms of David as they were sung in synagogues, in the temple and when people traveled to Jerusalem as pilgrims. One knew that the coming Messiah would be a Son of David. Did Jesus confirm this?
Two names
Jesus quoted in Matthew 22:42-45 (above) a song of David and this quote, Psalm 110:1, opens rather strangely:
“The LORD said to my Lord …”
The holy name for God is JHVH (JAHWÈ) translated as LORD and the second name for God is ADONAI translated as my Lord. David used the two names with reference to God as so often in the Bible, however the names are applied here to two divine persons and not one.
The Messiah
In Psalm 110 something unusual occurs:
“The LORD (JHVH) said to my Lord (ADONAI) …”
Here God is speaking to the Messiah of Israel. In the quote of Psalm 110:1 in Matthew 22:42-43 Jesus used the name “my Lord” as referring to the Messiah, whom David called “my Lord”, his Descendant who once would reign over Israel and the world.
Tongue-tied
Certainly the scribes and Pharisees were acquainted with the general Jewish teaching that the Messiah was a Son of David. There is no question about that and they were expecting a new great King like David with a throne and an army and a Kingdom of victory for the Jewish nation. But Jesus had a different perspective: How could God call the Messiah “my Lord”, using the second name of God? They were absolutely tongue-tied. For Jesus the answer was so simple: The Messiah would be Man and God, a Son of David and a Son of God!
Conclusion
There is nothing strange in the fact that Jesus used the Hebrew Bible to show that He was more than man, more than a Son of David. He, the Messiah, was also ADONAI, “my Lord”, more than a Son of David. He was also ADONAI, “my Lord”, Son of God! Jesus refers to his miraculous birth of divine origin.
No Bible Contradiction