Allow berries to thaw in the refrigerator overnight or by running under water. Once thawed, mash with a fork.
Preheat a nonstick skillet over medium-high heat. Drizzle a small amount of olive oil into the skillet and lightly toast each tortilla, flipping to brown both sides. Add more oil as needed.
Top each tortilla with cottage cheese, mashed berries, and shredded coconut.