Soften the aromatics: Heat olive oil in a large skillet over medium. Add onion, leek, and a pinch of salt.
Cook 5–7 minutes, stirring, until soft and translucent.
Add flavor: Stir in garlic, jalapeño, cumin, coriander, and red pepper flakes. Cook 1 minute until fragrant.
Cook the chard stems: Add chopped chard stems and a splash of broth. Cook 2–3 minutes to soften.
Wilt the greens: Add chard leaves and spinach in batches with the remaining broth and 1/2 teaspoon salt.
Toss until the greens are fully wilted and most liquid is reduced, 3–5 minutes.
Make it herby: Stir in chopped herbs, lemon zest, and lemon juice. Taste and season with more salt and pepper as needed.
Add feta: Sprinkle feta over the greens and gently fold to distribute. The mixture should be moist but not soupy.
If dry, add a splash of water; if too wet, simmer a minute more.
Create wells and add eggs: Use a spoon to make 4–6 small wells. Crack an egg into each. Season eggs lightly with salt and pepper.
Poach the eggs: Cover the skillet and cook on medium-low until whites are set and yolks are runny, 5–8 minutes.
For firmer yolks, go 1–2 minutes longer. Avoid high heat to prevent scorching.
Finish and serve: Top with extra herbs, more feta, and a drizzle of olive oil. Serve hot with bread, pita, or a spoonful of yogurt.