Place blueberries and ¼ cup of the honey in a blender. Puree until smooth.
Place a fine mesh strainer over a medium bowl and pour in the blueberry mixture. Let the liquid separate completely from the seeds and solids. Discard the seeds and solids.
In another medium bowl, whisk together yogurt, cream, remaining 1/4 cup of honey and vanilla until smooth.
Into a popsicle mold, layer the blueberry mixture and the cream mixture. Using a skewer, straw or popsicle stick, gently swirl together the layers.
Add popsicle sticks and freeze 2 to 3 hours.
Use lukewarm water to set popsicles free from the molds. Store in zip-lock bags and keep frozen until ready to eat.