The phrase "the island of Manhattan" uses literal language to describe a geographical location and does not contain figurative language such as personification, metaphor, hyperbole, or simile. However, if you are looking for a type of figurative language that could be connected to the broader concept of describing a setting in a poetic or imaginative way, it may imply some form of metaphor if it implies more than just its geographical nature.
If pressed to categorize it, one could argue that it acts metaphorically in certain contexts where the island symbolizes something larger (e.g., a bustling cultural hub), but strictly speaking, it is a literal description.
Please provide further context if you need a more specific analysis!