Asparagus Chicken Pesto Pasta

Name: Asparagus Chicken Pesto Pasta
Cuisine: European, Italian, Mediterranean
Ingredients: 1 bunch asparagus, trimmed; 1 lb. thin chicken cutlets (about ½-inch thick); 1 Tbsp. olive oil, divided; Salt and pepper; 8 oz. Banza cavatappi pasta; 1 cup flat leaf parsley; ¼ cup walnuts; ¼ cup grated Parmesan cheese; 1 small garlic clove, peeled; 2 Tbsp. lemon juice; ¼ cup olive oil; ½ tsp. salt, plus more to taste