No. The Trinity is one God existing simultaneously in three persons. Each is coequal, copowerful, and coeternal with the other. Each person, the Father, Son and Holy Spirit, is not the other. Without either there is no God; all three comprise the one God . The New Testament does not teach three Gods. It teaches what Moses taught in the Old Testament. In the Gospel of John we read: “In the beginning was the Word. The Word was with God and the Word was God.” The New Testament teaches that God is one, as in Isaiah 48:12-16, illustrates the three persons of the Godhead.
“For there are three that bear witness in heaven; the Father, the Word [Jesus], and the Holy Spirit; and these three are one” (1 John 5:7, emphasis added).
God the Father can also be found in the baptismal scene of the Lord Jesus. As He was coming up out of the water (Matthew 3:13-17) the heavens were opened up and Jesus saw the Spirit of God coming in the form of a dove and lightening upon him. At the same time there was a voice from heaven saying, “This is my beloved Son in Whom I am well pleased.” We see the Lord Jesus upon the earth, the Father in heaven and the Holy Spirit appearing in the visible form of a dove coming upon Him, three divine personalities.