The narrator is not a good man. He leaves the bodies of the rich (the "dignity" of a man in a dinner jacket and a woman with a locket) to rot while he tries to steal their money. He fails to retrieve the money. He fails at salvage. He fails at morality. The "storm" is not the weather; it is the chaos inside the narrator.
Warning: Many free "After The Storm Ernest Hemingway.pdf" sites host OCR-scanned versions with terrible typos (e.g., "Gulf stream" becoming "Gulf strewn"). Always verify the text against a published source. After The Storm Ernest Hemingway.pdf