In a medium bowl, combine the ground turkey, green onions, garlic, and ginger. Cover and refrigerate until dinner time or allow to stand at room temperature for 15 minutes.
When ready to cook, heat about 1 tablespoon olive oil in a large skillet over medium-high heat. Cook the turkey mixture until it’s browning and crumbly.
While the turkey is cooking, combine the limes, soy sauce, brown sugar, and, if using it, Sriracha to taste. Set aside.
Place the remaining ingredients in a large bowl. When the turkey is done cooking, add it to the vegetable mixture. Drizzle with the sauce and toss to combine. Serve immediately in leaves of lettuce. Makes 4 large servings.