Mix honey, ketchup, soy sauce, vinegar, sesame oil, and cornstarch in a small bowl. Set aside.
Heat 2 Tbsp oil in a skillet over medium-high heat. Add broccoli, season with salt, and cook for 5-6 minutes until charred and tender. Transfer to a plate.
In the same skillet, heat 1 Tbsp oil. Add garlic and ginger, and cook for 30 seconds. Stir in chickpeas and baking soda.
Reincorporate the honey mixture and pour it into the skillet. Bring to a boil, cooking for about 1 minute until the sauce thickens.
Add broccoli back to the skillet, toss in the sauce, and cook for another minute. Season with salt if needed.
Serve the chickpea and broccoli mixture in bowls and top with sesame seeds.