Combine coconut milk and chopped peaches in a food processor and pulse a few times until blended but a few chunks remain.
Pour mixture into a small bowl and add currants or blueberries if using.
Pour coconut mixture into either and ice cube tray or a mini muffin tin.
Either leave as is and freeze for a couple of hours until frozen or, freeze until just starting to set and insert popsicle sticks in the middle for an easier handheld treat.