Place the pineapple chunks, mint leaves, lime juice, and honey into your blender.
Blend on high until the mixture is completely smooth and vibrant yellow-green, about 30 seconds, with no chunks remaining.
Taste the mixture and add a little more honey or lime juice if you prefer it sweeter or more tangy. Blend briefly to combine.
If the mixture feels too thick, pour in the water and blend again until evenly combined.
Pour the fresh pineapple-mint mixture into your popsicle molds, leaving about ΒΌ inch at the top for expansion.
Insert the popsicle sticks into the molds and place them in the freezer.
Freeze for at least 4 hours, or preferably overnight, until the pops are fully solid and icy to the touch.
Run warm water over the outside of each mold for about 10 seconds to loosen the popsicles.
Gently wiggle and pull the popsicles out of the molds. Enjoy immediately for the best icy texture.