Yes, that is the whole point. John’s grammar is such that when the beginning began, the Word, the pre-incarnate Son, was already in existence. That means the Word always existed, just as the Father always existed.
It is the same one spoken of in John 1:1-3 who has always existed. The same who in Revelation refers to himself as "the first and the last" (Rev 1:17) and "the Alpha and Omega, the first and the last, the beginning and the end" (ESV, Rev 22:13). Notice how that mirrors what God says of himself in Rev 1:8--"I am the Alpha and the Omega" and 21:6, "I am the Alpha and the Omega, the beginning and the end."
But more than that, it also mirrors what God says of himself in the OT:
Isa 44:6 Thus says the LORD, the King of Israel and his Redeemer, the LORD of hosts: “
I am the first and I am the last; besides me there is no god. (ESV)
Isa 48:12 “Listen to me, O Jacob, and Israel, whom I called! I am he;
I am the first, and I am the last. (ESV)
It is abundantly clear that whatever is meant by the language in Rev 3:14 and Col 1:15, that we simply cannot ignore the larger context of both those verses. When it comes to Col 1:15 and "firstborn," it logically
cannot mean that Jesus was "born" or "created" or "begotten," as that would completely contradict verses 16-17 and other passages such as John 1:1-18 and Rev 1:17 and 22:13.
How do we then understand "firstborn" as it relates to the Son? We look to its other uses in Scripture.
Exo 4:22 Then you shall say to Pharaoh, 'Thus says the LORD, Israel is my firstborn son, (ESV)
Psa 89:20 I have found David, my servant; with my holy oil I have anointed him,
...
Psa 89:27 And I will make him the firstborn, the highest of the kings of the earth. (ESV)
Jer 31:9 With weeping they shall come, and with pleas for mercy I will lead them back, I will make them walk by brooks of water, in a straight path in which they shall not stumble, for I am a father to Israel, and Ephraim is my firstborn. (ESV)
We see then that "firstborn" has meanings which are not literal. We know from reading the Bible that the firstborn had certain rights and privileges but we also see in the verses above that it seemed those whom God loved he called his firstborn, even though they were not in any literal sense his firstborn.
The use of firstborn can mean preeminence without the referent having actually been born. Looking at the significance of
Psalms 89:27, it is a messianic Psalm where God says of David, "I will make him the firstborn." Here, firstborn clearly means that God will put him in a position of preeminence, "the highest of the kings of the earth." David is here the prototype of the coming Messiah, the "firstborn," and has nothing to do with David's being born or coming into being. This is almost certainly what Paul had in mind, and we see something similar in Romans:
Rom 8:29 For those whom he foreknew he also predestined to be conformed to the image of his Son, in order that he might be the firstborn among many brothers. (ESV)
Here it means the same--that Jesus would be the head of all believers. In relation to the Son then, we can understand that
Col. 1:15 is speaking of Jesus's place of preeminence, his sovereignty, and his lordship, over all creation.
A similar idea applies to Rev 3:14. Again, such a verse logically
cannot mean that Jesus was the first created thing, as that would ignore much context of Scripture. What it refers to is that Jesus was the beginner or author of creation, the one through whom the Father created (1 Cor 8:6). That is in full agreement with John 1:1-3 and Col 1:16-17, among others.