Blend first 7 ingredients and 6 tablespoons of oil in a food processor until almost smooth. Add almonds and process until finely chopped, but not ground. Season to taste with salt and pepper.
Prepare grill (medium-high heat) or preheat broiler. Brush chicken with remaining 2 tablespoons oil. Sprinkle with salt and pepper. Grill until cooked through, about 5 minutes per side. Cut chicken into 1-inch pieces. Skewer each piece with toothpick. Arrange on platter and serve with pesto.