Step 1

Mix ketchup, Worcestershire sauce, wine (if using), honey, soy sauce, ginger, and pepper in a small saucepan. Measure out ¼ cup mixture into a small bowl; set aside for glazing meatballs later. Bring remaining mixture to a simmer over medium-high heat, stirring occasionally and reducing heat if needed, until sauce thickens, about 5 minutes. Transfer sauce to a small bowl.

Step 2

Place a rack in upper third of oven; preheat to 450°. Line a rimmed baking sheet with foil. Trim broccoli stems and remove from crown. Peel off tough outer skin; slice crosswise into ½" pieces. Cut florets into 2" pieces. Toss on prepared baking sheet with 1 Tbsp. vegetable oil, 1 tsp. salt, and a few pinches of red pepper flakes (if using). Push to the edges of baking sheet to create a space for meatballs. Brush space with remaining 1 Tbsp. vegetable oil.

Step 3

Mix chicken, egg, scallions, garlic, ginger, panko, sesame oil, pepper, remaining 1½ tsp. salt, and ¼ cup water in a medium bowl. Using wet hands, form into twelve 1½"-diameter meatballs. Arrange on baking sheet; brush with some of the reserved glazing mixture. Bake until meatballs are cooked through, 14–18 minutes. Remove from oven; heat broiler. Brush meatballs with remaining glazing mixture; broil until broccoli is charred and meatballs are browned in spots, about 5 minutes.

Step 4

Spoon meatballs and broccoli over rice in bowl. Drizzle with sauce and sprinkle with sesame seeds.