The New Testament confession of Jesus was “Thou art the Christ, the Son of the living God” as voiced famously by the disciple Peter in Matthew 16:16. This confession was echoed in John 20:31. These and other such confessions are echoes, of course, of Psalm 2 – quoted most extensively in Acts 4:25-26.
Jesus was certainly seen as anointed by God while on earth. As Peter said:
Acts 10:38 “You know of Jesus of Nazareth, how God anointed Him with the Holy Spirit and with power, and how He went about doing good and healing all who were oppressed by the devil, for God was with Him.
And Jesus was seen as the Son of God most notably in His resurrection from the dead. As Paul wrote of Him:
Romans 1:4 who was declared the Son of God with power by the resurrection from the dead…
Linking the resurrection of Jesus to Psalm 2, Paul says:
Acts 13:32 “And we preach to you the good news of the promise made to the fathers,
Acts 13:33 that God has fulfilled this promise to our children in that He raised up Jesus, as it is also written in the second Psalm, ‘YOU ARE MY SON; TODAY I HAVE BEGOTTEN YOU.’
Thus Jesus was viewed as anointed like a prophet while on earth (Isaiah 61:1), and crowned as the Son of God in His resurrection (Psalm 110:1). This is not to say that He could not be seen as the Son of God on earth or as anointed in heaven. It is to say, however, that He ministered as a prophet on earth and not as a king. He didn’t begin to reign as king until His elevation to heaven.
Scripture quotations taken from the NASB, unless otherwise noted. (In the NASB New Testament, quotations of the Old Testament are rendered in all capital letters in order to make them easier to identify – e.g. Acts 13:33 above which is quoting Psalm 2:7.)