Heat a skillet over medium heat. Butterfly each chicken breast, so that they cook quickly, and season them with salt and pepper. Add the olive oil to the pan and once oil is hot add the chicken breasts. Cook them for about 5 minutes on each side.
Meanwhile, in a small bowl, combine the coconut milk, red curry paste, and fish sauce. When the chicken is cooked through, reserve to a plate to cool. Add the jalapeño and garlic to the pan, cook for about one minute, then add in the curry sauce mixture, and stir until combined. Turn the heat down to low and simmer. Once the chicken breasts are cool enough to handle, shred them, then add them into the sauce mixture to keep warm.
:For the peanut sauce
In a small bowl, whisk all ingredients until well combined
Wrap the tortillas in a damp cloth and warm them in the microwave on high for 30-45 seconds. Remove them from the microwave and lay them out on your plates. Divide the chicken mixture among the tortillas, about 1/4 cup for each taco. Top the tacos with the sliced radish and carrots, drizzle with about a teaspoon of peanut sauce, and top with cilantro. Serve three lime wedges per plate of tacos.