In a small saucepan, combine bananas and water. Bring the mixture to a boil, lower the heat and simmer till bananas are cooked through. Mash it with the back of the spoon or a potato masher to make a smooth mixture.
Add the tapioca and mix well to combine.
Next add the coconut milk and simmer the mixture until the tapioca are cooked through, stirring frequently to prevent sticking to the bottom, about 15~20 minutes. Tapioca should turn completely translucent.
Turn off the heat and stir in the chocolate chips. Mix well until combined.
Let the pudding cool completely before serving.