Heat olive oil in a large skillet or wok over medium-high heat.
Add minced garlic and grated ginger, sautéing for about 30 seconds until fragrant.
Add the broccoli florets to the skillet and stir-fry for 3-4 minutes until they are bright green and slightly tender.
Stir in the chickpeas and continue to cook for another 2-3 minutes, allowing them to heat through.
Pour in the soy sauce, sesame oil, rice vinegar, and red pepper flakes (if using). Toss everything together until well combined and heated through, about 1-2 minutes.
Season with salt and pepper to taste.
Serve the stir fry over cooked rice or quinoa.