Begin by placing the diced pineapple into a blender. Add the full-fat coconut milk, honey (or agave syrup), fresh lime juice, and a pinch of salt. Blend all the ingredients together on high speed until the mixture is completely smooth and creamy, resembling a thick smoothie.
After blending, take a moment to taste the mixture. If you desire a sweeter popsicle, feel free to add more honey or agave syrup and blend again briefly to combine.
Once you are satisfied with the taste, pour in the sweetened shredded coconut. Use a spatula or spoon to gently stir it into the mixture, ensuring it's evenly distributed without blending further. This will give the popsicles a delightful texture.
Carefully pour the blended mixture into your popsicle molds, filling each mold about three-quarters full. This allows space for the popsicles to expand as they freeze.
Insert the popsicle sticks into the molds, ensuring they are centered. Transfer the molds to the freezer and allow them to freeze for at least 4 to 6 hours, or until they are completely solid.
When you are ready to enjoy your popsicles, run warm water over the outside of the molds for a few seconds. This will help loosen them. Gently pull on the popsicle sticks to release the popsicles from the molds.
Notes
For an eye-catching display, serve the popsicles on a rustic wooden board with fresh pineapple slices and shredded coconut.