Heat the oil in a large, lidded skillet over medium-high heat.
Add the ground pork and cook, stirring and breaking up into small crumbles, until browned and crispy, 5 to 7 minutes. Mix in the ground sage and a generous pinch of salt and ground black pepper. Remove and set aside, leaving the oil behind.
Reduce heat to medium and add the diced onion to the skillet. Cook, stirring often until soft, 3 to 4 minutes. Add the garlic, oregano, salt, and ground black pepper and continue cooking until fragrant, 1 to 2 minutes.
Stir in the crushed tomatoes, beans, and coconut milk. Reduce heat to medium-low and cover the skillet. Simmer to soften the beans for about 5 minutes, then stir in the kale.
Continue simmering, uncovered, until the kale is wilted down, another 2 to 3 minutes. Add back the pork, stir to combine, and serve.
