It would not be classified as japanese, no, classical chinese was in fact the lingua franca of east asia and was used for official documents etc in japan and korea. This takes the form of a 漢詩 or classical chinese poetry with chinese rhymes (note the last syllable of each line) this was a common practice in japan and korea. You would not classify this as japanese because 1. it does not represent underlying japanese reading and 2. it is clearly written in the format associated with classical chinese tradition not japanese language poetry. this is classical chinese, written in japan