Whisk eggs in a bowl with a pinch of salt. Heat olive oil in a skillet over medium heat.
Add eggs and scramble until just set (about 3 minutes). Remove from pan and set aside.
In the same skillet, sauté spinach until wilted (1-2 minutes). Season with salt and pepper.
In a separate bowl, mix Greek yogurt, grated cucumber, minced garlic, lemon juice, fresh dill, and a drizzle of olive oil to make tzatziki.
Warm wraps slightly. Layer scrambled eggs, sautéed spinach, and spoonful of tzatziki onto each wrap.
Top with crumbled feta (if using). Fold edges of wrap and serve fresh or wrap in foil.