This is a bit like those “Can God make a rock so big that He can’t lift it” questions:
Can God create something that can exist without Him? Or that can exist independently of Him? Or does everything that God creates continue in existence and act and change only through the power of God?
No, not because God can’t do it, but because God
is being (“I am who am” Exodus 3:14), so that anything that does have its existence, has it through God alone and is participating in the existence which God freely shares with it, whether it be a speck of dust or a blue whale. On this level, the only thing other than Being is not-being - which doesn’t exist, prima facie.
As to its continuance in existence, there needs to be a distinction made. God made it (shared His being with it, according to the nature that it is, whether it is a speck of dust, or a blue whale, etc.), but once created, it acts on its own power (from the nature which it received - so that a speck of dust acts like a speck of dust and a blue whale like a blue whale) and all the while, God is still sustaining it and all in existence (but
not micromanaging the movements of each creature) because without His sharing His being, it wouldn’t exist in the first place.
Also, because you mentioned change, how this works in the big picture of the theory of evolution is a pretty complex, but very interesting topic. I believe Cardinal Schonborn has written a new book on the subject and, from personal reading, I would recommend
The One and the Many by W. Norris Clarke, S.J. He gives a wonderful “integration”, if you will, of the theory of evolution. This book can be a little tough to read at points, but it is a wonderful look at Thomistic thought from one of the brightest Thomists of the last century.