No, that's not quite correct. Yes, John 1:41 (WEB) says,
“We have found the Messiah!” (which is, being interpreted, Christ).
however, Messiah is the English transliteration of the Hebrew word mashiyac, which means 'anointed'. So Christ means 'anointed'. Jesus was anointed by God:
Luke 4:18 (WEB): “The Spirit of the Lord is on me, because he has
anointed me to preach good news to the poor. He has sent me to heal the broken hearted, to proclaim release to the captives, recovering of sight to the blind, to deliver those who are crushed,
Hebrews 1:9 (WEB): You have loved righteousness, and hated iniquity; therefore God, your God, has
anointed you with the oil of gladness above your fellows.”
He was also anointed to become king over the Kingdom of God, Revelation 12:10 (WEB):
I heard a loud voice in heaven, saying, “Now the salvation, the power, and the Kingdom of our God, and the authority of his Christ has come; for the accuser of our brothers has been thrown down, who accuses them before our God day and night.