The Dropbox API offers the ability to retrieve some metadata about files, such as file name and size, using endpoints such as the /2/files/get_metadata endpoint. It also exposes some basic media file information, such as dimensions and time_taken, where available. This unfortunately doesn't include the full EXIF data though. You can find all of the metadata offered in the documentation, by expanding the relevant fields, such as by clicking on FileMetadata, MediaMetadata, PhotoMetadata and VideoMetadata.
