First, peel and shred carrots, finely dice shallots, mince garlic, grate ginger and chop cilantro.
Heat vegetable oil and sesame oil in a large skillet over medium high heat. Add ground chicken, carrots and shallots.
Cook until browned, making sure to crumble the chicken as it cooks.
Once chicken is browned, stir in garlic and ginger, about 1 minute.
Stir in hoisin sauce until heated through, about 1 minute.
Remove from heat; stir in cilantro.
To serve, spoon several tablespoons of the chicken mixture into the center of a lettuce leaf, taco-style, drizzled with peanut sauce.