Make the cashew cream: in a blender combine drained cashews, 1/3 cup water, and nutritional yeast; blend on high until completely smooth and set aside.
Heat a large braiser or Dutch oven over medium heat and add 1 teaspoon olive oil.
Add the broccoli in a single layer, press down, and cook undisturbed about 4 minutes until the undersides brown and broccoli brightens; season with salt and pepper, toss lightly, then transfer to a bowl (it will finish cooking later).
Wipe out the pot, return to medium heat, and add the remaining 1 tablespoon olive oil. Add the diced shallot and cook, stirring, until softened and translucent, about 4 minutes.
Add the minced garlic, minced thyme leaves, lemon zest, and chili flakes (if using); cook, stirring, until fragrant, about 30 seconds to 1 minute.
Add the orzo and stir to coat with the shallot mixture, then add the chickpeas and season liberally with salt and pepper.
Pour in 2 cups vegetable stock, bring to a boil, then reduce to a simmer and cook, stirring and scraping the bottom frequently, until orzo is tender and mixture is creamy, about 8 minutes; add more stock as needed to keep a fluid, creamy consistency.
Stir in the cashew cream and the tablespoon of lemon juice; add the reserved broccoli back to the pot and bring gently back to a simmer. Taste and adjust seasoning with more salt or lemon if desired.
Stir in the chopped parsley and serve immediately with optional vegan Parmesan and extra chili flakes.