Make the chickpea frittata: Preheat the oven to 350°F (180°C).
In a large bowl, whisk together the chickpea flour, water, 1 tbsp of the avocado oil, salt, garlic powder, turmeric, coriander and baking powder. Set aside to let the flour hydrate while you cook the veggies.
Heat 1 tbsp of the avocado oil in a heat-resistant medium nonstick skillet over medium heat. Add the broccoli, shallot and peas and cook, stirring occasionally, until the broccoli is bright green and the shallot is soft and translucent, 5 to 7 minutes. Add the sweet paprika, coriander, salt and pepper to taste, and stir. Remove from the heat and let cool for 1 minute. Add the vegetable mixture to the chickpea batter. Sprinkle in the cheese (if using) and stir to combine, ensuring that the vegetables are evenly coated with batter. Wipe the pan.
In the same pan, heat the remaining 1 tbsp avocado oil over medium heat. Pour in the frittata mixture and tilt or swirl the pan to evenly distribute the vegetables. Transfer to the oven and bake until the frittata is dry to the touch on top and starting to crack around the edges, 25 to 30 minutes. The frittata won’t brown. Remove from the oven and let sit for 10 minutes.
Meanwhile, in a medium bowl, toss together the arugula and fresh herbs with the lemon juice and avocado oil. Season with flaky sea salt to taste
To serve, cut the frittata into wedges and transfer to plates. Top the frittata with some herby salad. Store the frittata, without the salad, in an airtight container in the fridge for up to 3 days. It makes an excellent sandwich filling.