Line a baking sheet with parchment paper.
Place kiwi slices on the baking sheet with a popsicle stick in each one.
Freeze until solid. They should no longer be moist to the touch.
In a glass bowl, melt the chocolate and coconut oil over a pan of simmering water until melted and smooth. (Make sure the water does not touch the bottom of the bowl.) Alternately, melt the chocolate and coconut oil in the microwave for 45 seconds increments until melted and smooth.
Dip each frozen kiwi pop into the chocolate, the chocolate will harden almost immediately.
Eat immediately, or wrap in wax paper and re-freeze in a plastic freezer bag.