Preheat the oven to 400°F. Line a sheet pan with foil for easier cleanup.
Drain and rinse the 15-ounce can of chickpeas, then pat them dry with paper towels until most surface moisture is gone.
Spread the chickpeas in a single even layer on the prepared sheet pan. Lightly coat them with olive oil cooking spray (or toss them with a tiny bit of olive oil).
Bake the chickpeas for about 15 minutes.
Remove the sheet pan from the oven. Add 3 to 4 cups broccoli florets and 1 to 2 cups sugar snap peas to the pan, arranging everything in an even layer.
Evenly drizzle 2 to 3 tablespoons olive oil over the chickpeas and vegetables. Sprinkle 1/4 to 1/3 cup nutritional yeast, 3/4 teaspoon kosher salt (or to taste), and 3/4 teaspoon freshly ground black pepper (or to taste) over the pan.
Using tongs or clean hands, gently toss and turn the chickpeas and vegetables on the pan so they are evenly coated with oil and seasonings.
Return the sheet pan to the oven and bake for about 10 minutes, or until the broccoli is cooked to your preference (about crisp-tender for a shorter time, longer if you prefer softer broccoli).
Optionally garnish with fresh parsley before serving. Note: the chickpeas will firm up and crisp more as they cool; if you prefer a crisper texture, let the pan sit for an additional 15 minutes before serving.