In a large bowl, whisk together the coconut milk, vanilla extract, and liquid sweetener until smooth and creamy.
Pour the coconut mixture into popsicle molds, filling each mold about three-fourths full.
Place the molds in the freezer for at least 30 minutes, or until the coconut layer is slightly firm but not completely frozen.
Add the frozen blueberries and liquid sweetener to a blender.
Blend until smooth. If the mixture is too thick, add 1 to 2 tablespoons of water or coconut milk to help it blend.
Pour the blueberry mixture over the coconut layer in each mold.
Insert popsicle sticks and freeze for at least 4 hours, or until completely firm.
To unmold, run the outside of the popsicle molds under warm water for a few seconds, then gently pull out the popsicles.
Serve cold and enjoy right away.