Preheat oven to 425°.
Combine green beans, tomatoes, oil, 1/4 teaspoon salt, 1/4 teaspoon pepper, and garlic in an 11 x 7-inch baking dish; toss. Bake at 425° for 10 minutes or until green beans are crisp-tender.
Meanwhile, season swordfish with remaining 1/4 teaspoons salt and pepper; coat each side with cooking spray. Heat a nonstick grill pan coated with cooking spray over medium-high heat. Sear fish 2 minutes on each side; place fish on top of green-bean mixture. Top with white beans, olives, and thyme. Bake 10 minutes or until fish flakes easily when tested with a fork.
Combine sugar and vinegar in a small saucepan over medium-high heat; boil 1 minute or until mixture begins to thicken. Drizzle each serving with syrup.