Preheat the air fryer to 400°F (200°C) for 10 minutes.
Cut chicken into about 1-inch pieces, pat dry, then toss with a pinch of sea salt and 1 teaspoon sesame oil in a bowl until evenly coated.
Place 1/4 cup coconut flour and 1/2 teaspoon ground ginger in a resealable bag and shake to combine, then add the chicken and shake until coated.
Place 4 egg whites in a large bowl and add the coated chicken, tossing to fully coat each piece.
Put 6 tablespoons toasted sesame seeds in a resealable bag. Shake off excess egg from the chicken pieces, add them to the sesame seeds, and shake until they are well coated.
Spray the air-fryer basket lightly with cooking spray and arrange the nuggets in a single layer without crowding; spray the tops lightly with cooking spray.
Cook the nuggets at 400°F for 6 minutes, flip each nugget, spray lightly again, then cook an additional 5–6 minutes until cooked through and no longer pink inside.
While nuggets cook, whisk together 2 tablespoons almond butter, 4 teaspoons coconut aminos, 1 tablespoon water, 2 teaspoons rice vinegar, 1 teaspoon sriracha, 1/2 teaspoon ground ginger, and 1/2 teaspoon monk fruit (if using) until smooth to make the sauce.
Serve the hot nuggets with the prepared dipping sauce.