Add the strawberries, 2 tablespoons honey, and lemon juice to a blender. Blend until smooth.
In a separate bowl, whisk together the Greek yogurt, heavy cream, remaining 2 tablespoons honey, and vanilla extract until smooth.
Spoon a little of the strawberry mixture into each popsicle mold, then add some of the creamy yogurt mixture. Continue layering until the molds are filled.
Use a popsicle stick or butter knife to gently swirl the strawberry and cream mixtures together in each mold.
Insert popsicle sticks and freeze for at least 6 hours, or until solid.
To release, run the outside of the popsicle mold under warm water for a few seconds, then gently pull out the popsicles.
Use ripe strawberries: The sweeter your strawberries are, the better the popsicles will taste. If your berries are a little tart, you may want to add an extra drizzle of honey.
Do not over swirl: Gently swirl the strawberry and cream mixtures just a few times so you still get pretty ribbons of each layer.
Use full-fat yogurt for creamier popsicles: Full-fat Greek yogurt gives the best texture and helps keep the popsicles from tasting icy.
Leave room at the top: The mixture will expand slightly as it freezes, so do not fill the molds all the way to the top.
Run the molds under warm water: If the popsicles are hard to remove, run the outside of the mold under warm water for a few seconds to loosen them.