No, coral is not a plant.
Coral is often mistaken for a plant, but it is, in fact, an animal. According to reference material, corals are animals because they do not produce their own food like plants do. Instead, corals capture food from the water using tiny, tentacle-like arms and sweep it into their mouths. Therefore, the key difference lies in how they obtain nutrition: plants photosynthesize, while corals actively hunt.
