Combine almond butter, coconut milk, 1/4 cup lime juice, and curry paste in a medium bowl, stirring until smooth. Place 1/2 cup almond butter mixture in a small bowl; reserve. Add chicken to remaining almond butter mixture; toss to coat. Refrigerate 15 minutes.
Remove chicken from almond butter marinade; discard marinade. Heat a grill pan over medium-high; coat with cooking spray. Thread chicken evenly onto skewers; sprinkle with 1/4 teaspoon salt. Add chicken skewers to pan; cook, stirring occasionally, until done, about 5 minutes.
Combine cucumbers, bell pepper, cilantro, remaining 2 tablespoons lime juice, remaining 1/4 teaspoon salt, black pepper, and crushed red pepper in a bowl; toss. Serve salad with chicken skewers and reserved 1/2 cup almond butter mixture. Sprinkle with almonds.