That's a loaded question because the label "Jesus" is a loaded label. The answer depends on your meaning of the term Jesus when you ask the question.
John 1:
If by "Jesus", you mean the physical body of Jesus from Mary's womb, then no.
If by "Jesus", you mean Word-Jesus, then yes.
John 1:
For precision, let's label this entity Word-Jesus. Now, by definition, Word-Jesus is eternal because Word-Jesus was God.1 In the beginning was the Word, and the Word was with God, and the Word was God. 2 He was in the beginning with God. 3All things were made through him, and without him was not any thing made that was made.
Paul put it this way, Colossians 1:14 And the Word became flesh and dwelt among us, and we have seen his glory, glory as of the only Son from the Father, full of grace and truth.
Jesus put it this way, John 17:15 He is the image of the invisible God, the firstborn of all creation. 16a For by him all things were created, in heaven and on earth, visible and invisible
Does Jesus have an eternal existence?5 And now, Father, glorify me in your own presence with the glory that I had with you before the world existed.
If by "Jesus", you mean the physical body of Jesus from Mary's womb, then no.
If by "Jesus", you mean Word-Jesus, then yes.