Finely chop the chicken into small pieces and set aside.
You can slice the pita in half, separating it, and stuffing the pockets, or place the ingredients on top and fold it like a taco or wrap.
If stuffing the pitas, spread some of the hummus inside each half, and divide the ingredients in half, filling each pita pocket.
For a pita wrap, spread the hummus on top of the pita. Place the chopped lettuce, chicken, tomatoes, olives, and crumbled feta on top.
Fold the pita in half or tightly wrap it and tie it using kitchen string.
Pack the pita inside its own compartment of a lunchbox and the sides separately.
Refrigerate it until ready to place it inside a lunch bag, along with an ice pack if necessary.