Preheat a grill to medium high. Cook the bacon in a Dutch oven or large pot over medium-high heat, stirring occasionally, until slightly browned and crisp, 5 minutes. Add the scallion whites. Cook, stirring occasionally, until lightly browned and softened, about 2 minutes.
Stir in 2 cups water, the peas, collard greens, barbecue sauce, mustard and 1/4 cup brown sugar. Season with salt and pepper. Bring to a simmer, then reduce the heat to medium low. Cook, stirring occasionally, until thickened and the peas are tender, 20 minutes. Season with more salt and pepper; keep warm over low heat.
Meanwhile, combine the remaining 1 tablespoon brown sugar, the paprika, garlic powder and 1 teaspoon each salt and pepper in a small bowl. Rub the pork chops all over with the spice mixture.
Brush the grill grates with vegetable oil. Grill the pork until marked and just cooked through, 3 to 4 minutes per side. Serve the peas on the side, topped with the scallion greens.