Preheat oven to 350°F and spray with nonstick spray, oil, or line 12 tins in a muffin pan.
Place grated zucchini in a cheesecloth bag or a clean towel and (over a sink or a bowl) wring out as much moisture from the zucchini that you possibly can. You should be left with about 1 cup drained, grated zucchini.
In a bowl, combine grated zucchini, mashed banana, eggs, yogurt, olive oil, vanilla and sugar. Add the flour, cinnamon, baking soda, baking powder, and salt and mix until just combined. Gentle fold in the chocolate chips.
Divide the batter evenly into the muffin tins. If desired, sprinkle a few additional chocolate chips on top for aesthetics.
Bake for 23-25 minutes, or until an inserted toothpick comes out clean.
Serve the muffins warm or at room temperature and enjoy!