Heat oil in an 11-inch skillet over medium-high heat. Add onion, yellow pepper, and jalapeño, stirring occasionally for 3-4 minutes.
Add the thyme, oregano, garlic, and tomato paste and cook for another 2 minutes.
Add the diced tomatoes and bring to a low boil, reduce heat to medium-low add the chickpeas and simmer, stirring occasionally for 5-10 minutes. Season to taste with salt and pepper then stir in feta.
Using the bottom of a ladle, make four indentations into the sauce for the eggs. Crack eggs one at a time and place into the individual indentations.
Cook until egg whites have set, but the yolks are still runny, approximately 6-8 minutes. If the top of the eggs is not setting up as desired, cover with a lid for 1-2 minutes. Do not leave the lid on too long or you will lose the yellow in the yolk.
Garnish with fresh basil and enjoy!