You avoided the question of who your creator is by saying who is not your creator. Well put that down into the "God is your creator" column.
I believe He created Adam too. Just exactly like He created you.
The symbology in Genesis is similar to that in Revelation. Both books were inspired, or revealed, (whatever wording you want) directly from God. Such things are dicy. Note how no two denominations who follow the Bible believe exactly the same thing. Demonstrating that 1) Gods revelations, however perfect, are not interpreted by man perfectly. And 2) different people can read the same Bible and conclude different things.
I don't think God needed to violate His own physical laws of time and space and physics in order to create man. But I do think He needed to dumb down Genesis so that literally any man of the last three milienia could understand that God was the creator. The creation stories in Genesis are only a few hundred words. There's no way any literal history of such a huge creation could be written without losing lots of details, like evolution.
God is not a liar. And His creation tells us in many many ways that the earth is very old, and life and man evolved over billions of years. He does not lie in Genesis either. But you are an imperfect man, and have interpreted His book in a way contrary to the evidence God provided you in His creation.
The sad part is that you force people into choosing whether to believe the evidence in front of their own eyes from Gods own creation, but which contains no explanation of salvation. Or the Bible as interpreted by you, that does tell of salvation. Some people will choose what they can see over what they can't, and lose their salvation in the process.
And that will be your fault.
This is where you depart from the teaching of the Bible. See Genesis 1:26.
Adam was not begotten. He was not procreated. He was created as no other man was created. Adam and I are different in this regard. We are both human, created in the image of God, but he was the first. He didn't evolve from the beasts of the earth (a non man). Genesis 2:7 ("Then God formed man of dust from the ground, and breathed into his nostrils the breath of life; and man became a living being.")
After forming Adam, God made a suitible helper for him. God created Eve from Adam's rib. Eve, also, did not have parents. No other woman was created such as she.
God is not a liar. And His creation tells us in many many ways that the earth is very old, and life and man evolved over billions of years.
The Bible does not. Man was created on the 6th day. Genesis may be too succinct to suit evolutionary interests, but it is a faithful accounting of His creative effort.
As to "billions of years", this is merely speculation. I know of no reliable dating methods to support this. Radiometric dating methods provide inconsistent results even for the age of known formations, let alone those from "times past." (See CRI RATE project). In the unformitarian mindset, the Grand Canyon is formed over millions of years by the Colorado river. Recent data from the Mount St. Helen's eruption and aftermath have provided new knowledge as to how the Grand Canyon may have formed--layed down during the Flood over the period of days or a year and formed rapidly when a cataclysmic event eroded the canyon. The Colorado river may exist because of the Grand Canyon, not visa versa.) [You do believe in the Flood, don't you?]
As to the apparent long age of the universe, Dr. Russell Humphreys in his work "Starlight and Time" describes a "White hole Cosmology" which may explain the perceived difference in time between earth clocks and rest of the creation.
I don't think God needed to violate His own physical laws of time and space and physics in order to create man.
I sure hope He did, and will continue. My Jesus, conceived by the Holy Spirit, was born of a virgin. He performed many miracles as witnessed in the Gospels--making water in to wine, casting out demons, healing the blind, feeding a multitude on a few fishes and loaves, ... He arose miraculously on the 3rd day following his death. My (and your) ressurrection depend upon it.