Purée the kiwi, 3/4 cup milk, 1 tablespoon honey, 1 tablespoon lime juice, and 1/2 banana in a blender until smooth. Divide mixture among popsicle molds or small paper cups until each mold is half filled. Freeze until semi-solid.

Meanwhile, rinse the blender carafe and purée the remaining ingredients until smooth. Chill until ready to fill popsicles. When the kiwi mixture is semi-solid, divide the blueberry mixture among the popsicles. Insert the handle or a wooden stick and freeze again until solid, preferably overnight.

To serve, carefully unmold the popsicles by running under lukewarm water. Serve immediately.