Heat the olive oil in a medium skillet over medium heat. Season the diced chicken breast with salt and black pepper. Cook the chicken for 6–8 minutes or until nicely browned and the internal temperature reaches 165°F (74°C). Remove from heat and let rest for a few minutes.
Spread the herb mayo evenly onto each tortilla.
Top each wrap with cooked chicken, cucumber, tomato, capers, feta cheese, and romaine lettuce.
Fold in the sides of each wrap, then roll it up tightly from the bottom to form a secure wrap. Cut in half.
To prepare the chia fresca, squeeze the lemon juice and set aside. In a medium pitcher, stir together the lemon juice and maple syrup (or honey) until well combined.
Add the chia seeds and a pinch of salt. Slowly pour in the water while stirring gently to avoid clumping. Garnish with fresh mint.
Serve the wraps with carrot sticks, hummus, pickle spears, and chia fresca.