Any period of time in which a man will try to hook up with any woman who greatly supersedes him in both weight and size.
It is a reference to the mid 1800's in which harpoons where the weapon of choice for whalers who hunted some of the largest mammals on the planet.
Person 1: Bro, do you see that chick over there? Ima get her number.
Person 2: Dude, she's got 100 pounds on you easy.
Person 1: Fuck it! Its harpoon season!