Season the chicken with ½ teaspoon salt and the sweet paprika.
Heat a large skillet over medium-high heat. Add the coconut oil and sear the chicken cutlets in a single layer for 2 to 3 minutes per side, until lightly browned and just cooked through. Remove to a plate and set aside. (Target internal temperature 165°F/74°C.)
Reduce the heat to medium. In the same skillet, add the onion and cook for 2 minutes, stirring.
Stir in the brown sugar and cook for 1 minute to lightly caramelize the onion.
Add the garlic, jalapeño, ginger, and tomato paste. Cook for 1 minute, stirring.
Pour in the coconut milk, then add the turmeric, cumin, and either the additional ½ teaspoon salt or the soy sauce. Stir, scraping up any browned bits from the bottom of the skillet.
Simmer for 3 minutes to allow the flavors to meld.
Stir in the lime juice and lime zest.
Return the chicken and any juices to the skillet. Simmer for 2 to 3 minutes to warm through.
Garnish with cilantro. Serve with lime wedges over cooked jasmine rice, if desired.