In a blender, add a third of the yogurt, strawberries and blend until creamy and smooth. Pour the strawberry yogurt mixture into a bowl and set aside.
In the same blender, add half of the remaining yogurt, blueberries and blend until creamy and smooth. Set aside.
In another small bowl, mix together the remaining yogurt, a tablespoon of coconut cream, and the unsweetened coconut shavings.
In a large bowl, whip the heavy cream until it is smooth and slightly thick, then mix in the honey.
Next, add 1/3 of the heavy cream to the strawberry yogurt mixture, 1/3 to the blueberry yogurt mixture, and 1/3 to the coconut yogurt mixture. Carefully fold the heavy cream into each mixture until smooth.
Evenly spoon equal amounts of blueberry, strawberry and coconut cream mixtures into the molds in layers according to your design.
Push a popsicle stick into each of them about half-way down.
Freeze for at least 4 hours or best overnight and best served cold.