Heat 1 tablespoon coconut oil in a large skillet over medium-high heat.
Add the cubed chicken and 1 teaspoon minced ginger and cook, stirring frequently, until the chicken is golden and cooked through, about 5–10 minutes.
While the chicken cooks, pulse the cauliflower florets in a small food processor until they reach a rice-like texture.
Heat the remaining 1/2 tablespoon coconut oil in a medium skillet over medium heat. Add the cauliflower rice and cook, stirring occasionally, until lightly golden, about 5–7 minutes.
Divide the cooked chicken between two storage containers.
Add the snow peas to the hot large skillet with residual oil and cook until lightly browned, about 2–3 minutes; divide between the two containers.
Toss the cooked cauliflower rice with the chopped cilantro, sliced mint, and a pinch of salt, then divide between the two containers.
Divide the coleslaw mix and sliced water chestnuts between the two containers. Top each bowl with sliced green onion and sesame seeds.
In a medium bowl, whisk together the nut or seed butter, 1 tablespoon melted coconut oil, 2 1/4 teaspoons lime juice, 1/2 teaspoon agave, 1/2 teaspoon rice vinegar, 1/4 teaspoon minced ginger, and a pinch of salt until smooth and creamy.
Divide the sauce between two small containers to serve with the meal-prep bowls.