Prepare a small baking tray or sheet by lining it with parchment paper. Make sure the tray has edges to keep the yogurt mixture from spreading.
In a mixing bowl, combine the Greek yogurt, vanilla extract, and honey or maple syrup. Stir until the mixture looks smooth and creamy.
Spoon the yogurt mixture onto the prepared tray and spread it into an even rectangle about 1/4-inch thick.
Scatter the strawberries and blueberries evenly across the yogurt layer. Finish by sprinkling the coconut flakes over the top.
Transfer the tray to the freezer and let the yogurt bark freeze for around 3 hours, or until completely firm.
Once frozen, remove the bark from the tray and slice or break it into bite-sized pieces.
Enjoy immediately, or store the pieces in a freezer-safe container or sealed bag for later.