Add the chorizo to a 12-inch skillet and cook over medium-high heat, stirring frequently, until just beginning to brown, about 5 minutes. Transfer to a paper-towel-lined plate to drain; remove all but one tablespoon of the rendered fat from the skillet.
Add the olive oil, onion, sliced garlic, and large pinch salt; cook over medium-high heat, stirring occasionally, until softened and just beginning to brown, about 5 minutes. Add the remaining garlic, paprika and saffron, and cook, stirring constantly, until fragrant and paprika has darkened, 1 minute. Stir in the rice; add thyme and broth, and bring to a simmer.
Stirring occasionally with a rubber spatula to redistribute the broth and rice, cook for 10 minutes. Sprinkle the chickpeas, tomatoes, and red peppers evenly over the top. Cook uncovered, without stirring, until the liquid is completely absorbed and the rice is tender, about 10 minutes longer. Sprinkle peas, cooked chorizo and green onions over the rice; cover, and allow to sit for 5 minutes. Serve with lemon wedges on the side.