Prep the ingredients as instructed above.
Heat the olive oil in a medium skillet over medium heat. Season the diced chicken breast with salt and black pepper. Cook the chicken until browned and cooked through, reaching an internal temperature of 165°F (74°C). Remove from heat and let it rest for a few minutes.
Spread the herb mayo onto each tortilla. Top evenly with the cooked chicken, cucumber, tomato, capers, feta cheese, and lettuce.
Fold in the sides of each tortilla, then roll it up tightly from the bottom to form a secure wrap. Cut each wrap in half.
Prepare the chia fresca: combine all the ingredients together. Stir well and let sit for 5 minutes to allow the chia seeds to bloom.
Serve the wraps with the carrots, hummus, and chia fresca.