After reading this commentary on New Advent: Eternity, I would have to say yes. At least, that’s what I believe it says. But, there is a distinction between the absolute Eternity of God, and what we might call “the eternal life of creation”, which can only exist within God. It has a definite beginning, and is subject to time and space. But God is Eternal within Himself, with no beginning and no end; and He is not limited by time or space. He exists everywhere, at all times.
Of course, I’m no theologian, nor would I ever claim to be. If I’m wrong in my reading of the article, then I would ask someone else who is more knowledgeable to, please, correct me.
God is eternal, completely outside of time and creation, and He doesn’t “exist” in the sense that creation “exists”. Rather, He is existence itself. Fr Robert Barron explained this very well (which is one thing that brought me from a few years of borderline agnosticism back to Christ).