Chromaticism is when you play notes that aren't in the scale you're using right now but this does not apply to atonal harmony and improvisation methods
If youre saying that the cat is using "atonal harmonies" and "improvising", then your applying what its doing to theory.
And instead of asking "Does this music have theory?", we should now as "Is this music?"[no music=no][/no]. As far as Im concerned, no. My definition of music, from my own experience, is "a series of sounds pleasing to the ear". Im pretty sure your the only one here inri who finds what that cat is doing "pleasing to the ear", so its really only your problem to apply theory to it, because none of us really care to do so.