The whole point of material things being made out of matter is that God likes matter, and He created matter. Humans are matter and soul, and angels are just spirit and nothing else, but the material creations are uniquely matter.
(Now, that said, the Thomists do talk about “animal souls”, “vegetable souls”, and even souls for things like rocks. This is Aristotle philosophy transposed onto medieval theology and science, so you can’t hear “soul” and think “soul” in a normal way.
(With rocks, they are just talking about the form of the rock and its existingness; it’s not a rational soul like humans have, and it ceases to exist if you pulverize the rock.
(But with animals and plants, they are talking about the livingness of the creature combined with its form as an animal or plant. The idea is that when an animal or plant dies, the livingness and the form go away (unless something should happen like God willing them to persist, or Him remembering them to bring them back later in the new Earth of eternal life).
(So again, we’re really talking about the life and existingness of animals and plants, not a rational soul like humans have. “Soul” doesn’t even seem like the right word, but that’s how it got written down.)
OTOH, and without it being pagan in any way, it has always been Biblical to perceive mystically that God’s creations, even the purely material ones like rocks, do praise and obey Him insofar as their state of existence allows. This shows up in the Psalms and various canticles, and it’s not just a literary device because it affects things that happen historically.
When Jesus walked the world, the waves and the wind did obey Him, and the Lake of Galilee did support His feet. When Jesus died, the earth did quake, and the sun and moon did give no light. God commands His material creations, and they are eager to answer Him. As Jesus said, if the crowds of Jerusalem had been silent, the stones would have cried out.
(Of course, the other thing about Jesus was that He was the New Adam, so Creation responded to Him not only as God, but as the Head of all beings of Earth.
(And whenever saints have unusual power to command or help animals or plants, or storms or the earth, it’s because they are part of Christ’s Body.)
But I think it’s not correct to call this “spiritual power.” The whole point is that they are matter, so it’s “material power” if it’s anything.