Heat a skillet over medium-high heat; add olive and chili oil. Once hot, add minced garlic and grated ginger; sauté for 1 minute until fragrant.
Add the ground turkey to the skillet. Break it up with a spatula and cook until browned, about 5-8 minutes, seasoning with salt and pepper as needed.
In a small bowl, whisk together the soy sauce, sriracha, brown sugar, rice vinegar, and red pepper flakes. Pour the mixture into the skillet with the turkey and stir well.