In a large skillet over medium heat, warm 1 tablespoon oil. Add the chicken, sprinkle with ½ teaspoon salt and cook undisturbed until golden, about 4 minutes. Stir/flip the chicken and continue to cook until cooked through, stirring occasionally, about 3-5 minutes more (it will cook more in the curry, so don’t worry if it’s not all the way cooked). Transfer to a plate.
Add the remaining 1 tablespoon oil, veggies, and remaining ½ teaspoon salt and cook for 1 minute, stirring occasionally, scraping up any chicken bits stuck to the pan. Add the curry paste and cook for 2 more minutes, stirring often.
Stir in the chicken to coat in the curry paste. Stir in coconut milk, soy sauce, and fish sauce. Simmer rapidly over medium/medium-high heat for 6-8 minutes or until the coconut milk has reduced a bit and the veggies are cooked through.
Turn off the heat and stir in the lime juice.
To make the slaw (if using): combine all ingredients in a medium bowl and toss to combine. It will get softer/better as it sits.
Serve the curry over rice and top with slaw (if using), plenty of herbs, and a squeeze of lime.