Add the pineapple chunks to a blender and blend until smooth.

Add the honey and half and half and blend until just combined. Pour the pineapple mixture through a fine mesh sieve set over a bowl, pressing on any solids.  Place bowl in the freezer for 30 minutes. Stir and freeze for 1 to 2 hours.

NOTE: If using an ice cream maker, freeze the cold pineapple mixture according to the manufacturer's recommended instructions.  Just before the mixture becomes solid, remove it to a freezer proof dish and freeze for 1 to 2 hours before serving.