Slice the cucumber into long, thin strips using a vegetable peeler or mandoline.
In a bowl, combine the cottage cheese, dill, chives, garlic powder, salt, and pepper. Mix well until all ingredients are evenly incorporated.
Lay out the whole wheat tortillas on a clean surface.
Spread a generous layer of the cottage cheese mixture over each tortilla.
Place a few cucumber strips on top of the cottage cheese.
Roll the tortillas tightly, starting from one end and tucking in the sides as you go.
Slice each wrap into bite-sized pieces.
Serve immediately or refrigerate for up to 30 minutes before serving for a refreshing snack.