Bring 1” water to a boil in a large saucepan with a steamer basket inside. Use tongs to lower eggs into steamer basket, cover, and steam for 10 minutes. Fill a bowl with ice water and transfer eggs to ice water to cool. Crack eggs all over, peel, and roughly chop.
Transfer chopped eggs to a bowl and add yogurt, dill, lemon zest and juice, salt, and pepper.
Lay wraps on a work surface. Spread avocado down the center of each wrap. Top with radishes, egg salad, and sprouts. Roll up and serve.