Cut the pineapple into chunks. A pineapple corer makes this easier, but a sharp knife works too.
Add the pineapple chunks, thick coconut cream, pineapple juice, sweetener, and optional lime juice to a blender.
Blend until smooth and creamy.
Taste the mixture and add more sweetener if needed.
Pour the mixture into popsicle molds, leaving a little space at the top for expansion.
Insert popsicle sticks and freeze for at least 6 hours, or until completely firm.
To unmold, run the outside of the molds under warm water for a few seconds, then gently pull out the popsicles.