Using a sharp knife, slice the breasts in half widthwise. Season the chicken with salt and pepper on both sides. Place the chicken in a large bowl or gallon freezer bag.
In a medium bowl, whisk together the hot honey, lemon juice, oil, garlic, smoked paprika, and salt.
Pour the mixture over the chicken. Stir to make sure the chicken is evenly coated. Marinate for at least 30 minutes or up to overnight.
When ready to cook, preheat the grill (or grill pan) to high heat and oil the grates.
Place the chicken breasts on the grill and cook for 3 to 5 minutes per side or until the internal temperature of the chicken reaches 165 degrees F. Don’t overcook. Transfer the chicken to a plate and cover tightly with foil. Allow to rest for 5 to 10 minutes.
While the chicken is resting, make the peach pico de gallo. In a medium bowl, combine the peaches, tomatoes, cilantro, onion, jalapeño, lime juice, salt, and pepper. Stir to combine.
Drizzle the chicken with hot honey and serve with peach pico de gallo.