We’re pretty hyper-specialized to use it, but there are organisms on earth that don’t need it and in fact find oxygen deadly; they are called anaerobic. They still need chemical energy, it’s just not provided by oxygen. (As I was looking this up I discovered there’s even a creature in the animal kingdom that doesn’t breathe oxygen.) Some gases, like carbon monoxide, will actually participate in gas exchange in your lungs and react with your body chemistry, but in a way that rapidly breaks down cell functioning.
So, yes, there are definitely other forms of biochemistry that can process non-oxygenated environments and extract energy from them, just not us, not by a long shot.