Probably not. The iPhone SE is rumored to basically be an updated iPhone 8, which does not have a headphone jack. The iPhone 7 which preceded it did not have a headphone jack either.
That said, I wouldn't completely discount it as a possibility. If Apple removes 3D Touch that could give them some extra room, and Apple does still sell iPads and an iPod touch with a headphone jack, so it's conceivable they might decide to put one on the SE as well.
That said, I wouldn't completely discount it as a possibility. If Apple removes 3D Touch that could give them some extra room, and Apple does still sell iPads and an iPod touch with a headphone jack, so it's conceivable they might decide to put one on the SE as well.