Preheat oven to 375°F (190°C). Brush 18 muffin cups with 1 tsp olive oil.
Heat the remaining 1 tbsp olive oil in a large skillet over medium heat. Add shallots and bell pepper; sauté 4–5 minutes until softened.
Add spinach in batches; cook, stirring, until fully wilted, 2–3 minutes. Remove from heat; cool slightly.
In a medium bowl, combine chicken, olives, parsley, dill, lemon zest, and feta. Stir in the cooled vegetables.
In a large bowl, whisk whole eggs and egg whites until frothy. Sift in chickpea flour, paprika, turmeric, and black pepper; whisk until smooth.
Divide the vegetable–chicken mixture among the 18 cups (about two-thirds full).
Pour the egg mixture over the filling, leaving a little headspace. Bake 18–22 minutes, until centers are set and a wooden skewer comes out clean.
Cool in pan 5–10 minutes, then loosen edges and lift out. Serve warm or cool completely for storage.