Combine the avocado, banana, coconut milk, lime juice, honey, and lime zest in a blender. Blend on high until smooth. Pour into ice pop molds and insert sticks. Freeze for 4-6 hours or until firm.
Melt the chocolate. Remove the pops from the molds (run the molds under hot water to help with release). Place the pops on a parchment-lined plate or baking sheet. Drizzle with melted chocolate and return to the freezer until set. Serve immediately or store pops in an airtight container in the freezer.