This, like many poems, reads like prose to me. I always wondered about that: does simply adding some line breaks turn prose into poetry? Or else what makes this a poem rather than prose?
There's rarely a bright and unambiguous line between free verse poetry and prose, but I'd argue poetry is about layered use of language to a degree you generally can't sustain for the length of most prose genres. Line breaks are one way to draw attention to the way a word or image is used, which is one reason you see them often in poetry, but it's not distinct to poetry, nor is it something all poetry uses extensively.
Like many distinctions, this one breaks down at extremes. Microfiction can seem a lot like a poem and narrative epics can look a lot like prose, for example.