Preheat the oven to 350°F. Place a 10- or 12-inch oven-safe skillet over medium heat and add 2 tablespoons extra-virgin olive oil.
Add 1 teaspoon cumin seeds and cook, stirring, until they sizzle and are fragrant, about 1–2 minutes.
Add the lacinato kale in batches, letting each handful shrink and wilt before adding the next. Continue until all the kale is wilted, about 3–5 minutes total.
Stir in 2 cups tomato sauce, 1 1/2 cups cooked chickpeas (drained and rinsed), and 1 tablespoon fresh lemon juice. Stir to combine and bring the mixture to a gentle simmer.
Season the sauce with freshly ground black pepper to taste and stir once more.
Nestle the 1 12-ounce block of feta, cut into 1/2-inch planks, into the sauce so the pieces are partially submerged and spaced evenly.
Slide the skillet into the preheated oven and bake until the feta has softened, about 15 minutes.
Remove the skillet from the oven, drizzle with additional olive oil (more for drizzling), and sprinkle a pinch of red pepper flakes and additional freshly ground black pepper if desired.
Serve immediately with warm pita or baguette and lemon wedges.