Heat 1 tablespoon of the oil in a Dutch oven over medium-high heat. Add the sliced sausage and cook until browned.
Remove the sausage from the Dutch oven to a bowl and set aside.
Add the remaining oil to the pan and heat until hot. Add the vegetable hash and the garlic and cook until they begin to get golden brown, about 5 minutes, seasoning with salt and pepper as the fresh veggies cook.
Add the vinegar, brown sugar, curry powder, kale, and chicken broth. Bring the stew to a boil and add the sausage. Reduce the heat and simmer, covered, until the kale wilts and the vegetables are tender, about 6 to 8 more minutes.
To serve, spoon the stew into bowls.