Absolutely not. The "Logos/Word" eternally existed according to John 1:1-3. Moreover, both John 1:1 and Genesis 1:1 start out with the same three words, "in the beginning." The main thought of Genesis 1:1 is on "WHAT HAPPENED" in the beginning, and at John 1:1 the main thought or emphasis is on WHO EXISTED "in the beginning."
Why do you think John 1:1 says that the "Logos/Word" was not only with God, but was God." Since God eternally exist and does not have a beginning then by definition Jesus Christ eternally existed. John 1:2, "He/Logos/Word/That one" was in the beginning with who #48152? What's the last word in verse 2? "God!"
If your with somebody you can't be that somebody. So John 1:1 is identifying two distinct persons, God the Father and God the Son who are the one God. How are they the one God?
There are one in nature or essence and the Bible clearly identifies each person of the Trinity as distinct persons. You, I and every other human being are one in nature based on our nature of human. You are not your father and your father is not you. You are a distinct person from your father, mother, your children (if you have any) and the rest of humanity.
And yes, Jesus Christ is the physical manifestation of His Father. Please read John 14:9-11. The Father has no separate manifestation from the Son. The Son is the only manifestation and revelation of the Father. What is know of the Father is revealed through the Son. To see the Son is to see the essence of the Father. John 1:1, 18; John 10:30. This is where Jesus literally said, "I and the Father We are one. On what?
It goes without saying they are one in purpose, this is a given. But this verse is not about them being one in purpose, but one in nature or essence. Why else did the Jews answer Him and say at John 10:33, "For a good work we do not stone You, but for blasphemy; and because You, being a man, make Yourself out God."
Does Jesus deny the blasphemy, no. Why do you think He brought up Psalm 82:6? Or at John 5:18, "For this cause therefore the Jews were seeking all the more to kill Him, because (or why), He not only was breaking the Sabbath, but also was calling God His own Father, MAKING HIMSELF EQUAL WITH GOD."
And yes, Jesus Christ is the total expression of the Logos. He has no parts, aspects and He certainly does "subsume" by way of absorbing something in something else. And of course Jesus has names and titles. Luke 2:11, "for today in the city of David there has been born for you a Savior, who is Christ the Lord."
Somebody else named Thomas made a similar statement at John 20:28 when he declared to Jesus Christ Himself, "The Lord of me and the God of me."