Need to begin with Hebrews 1:9, about Jesus' God who anointed him above his companions. After that, verse 10 is about Jesus' God who anointed him. Therefore verses 10-12 are about YHWH being the Creator, not Jesus.
No, it isn't. I've fully addressed this with you elsewhere, but I'll provide it again here. The entire chapter, and beyond, is about Jesus's superiority to the angels. The whole book is about why Jesus's absolute supremacy makes him the mediator of a better covenant and the eternal priest and king. There is nothing in the first chapter that is addressed directly to the Father because he is not the focus of the chapter, the Son is.
First, beginning in verse 5 we see, "For to which of the angels did God ever say," and what follows are two quotes from the OT. We know that that is God saying those things of the Son. Verse 6 is the same. Verse 7 switches to God speaking about angels, with a quote from the OT.
Second, we see in the beginning of verse 8: "But of the Son he says." What follows in the rest of the verse and verse 9 is a single quote from Psalms 45:6-7, being addressed to the Son. The "And" in verse 10
links back to the beginning of verse 8, and starts another single quote, from Psalms 102:25-27. There is only one legitimate understanding and that is that the writer of Hebrews, under the inspiration of the Holy Spirit, shows the Father applying the quote from Psalms 102:25-27 to the Son.
Third, we see in verse 13 that God is speaking again, with a quote from the OT.
Heb 1:5 For to which of the angels
did God ever say, “You are my Son, today I have begotten you”? Or again, “I will be to him a father, and he shall be to me a son”?
Heb 1:6
And again, when he brings the firstborn into the world,
he says, “Let all God's angels worship him.”
Heb 1:7 Of the angels
he says, “He makes his angels winds, and his ministers a flame of fire.”
Heb 1:8
But of the Son he says, “Your throne, O God, is forever and ever, the scepter of uprightness is the scepter of your kingdom.
Heb 1:9 You have loved righteousness and hated wickedness; therefore God, your God, has anointed you with the oil of gladness beyond your companions.”
Heb 1:10
And, “You, Lord, laid the foundation of the earth in the beginning, and the heavens are the work of your hands;
Heb 1:11 they will perish, but you remain; they will all wear out like a garment,
Heb 1:12 like a robe you will roll them up, like a garment they will be changed. But you are the same, and your years will have no end.”
Heb 1:13
And to which of the angels has he ever said, “Sit at my right hand until I make your enemies a footstool for your feet”? (ESV)
The point is that the only one speaking from verses 5-13 is God, the Father, with many quotes from the OT being applied to the Son, as Messiah, and angels. That shows that the Father cannot be the one being the spoken of in verses 10-12. And, that is apart from the plain meaning and use of "And."
So, your understanding ignores grammar, the plain purpose of using "And," and context. To say that verses 10-12 are about the Father makes absolutely no sense; that Yahweh created everything and would continue to live forever goes without saying, which would make it a pointless addition. It is entirely out of place and inconsistent with the flow of the rest of the chapter.