Plan to make these in the morning of the day you want to serve them or the day before so they have time to freeze. See Notes for allergy-friendly substitutions. The amount of popsicles the recipe makes will vary according to the size of your mold.
Add all ingredients to a blender. Blend on low speed until combined, increasing the speed a little to make a smooth pudding. Stop and scrape down the sides of the blender if needed.
Taste the mixture and add a little additional sweetener if needed.