Preheat oven to 350°F. Grease and flour an 8-inch loaf pan.
In the bowl of an electric mixer fitted with the paddle attachment, cream butter and sugar at medium speed until light and fluffy, about 3 minutes. With the mixer at low speed, add lemon zest and aquafaba, one tablespoon at a time. Scrape the bowl as needed.
In a separate bowl, whisk all the dry ingredients together. With the mixer at low speed, add flour mixture to butter mixture until just combined. Scrape the bowl as needed. Add coconut milk yogurt and mix until all ingredients are combined but do not over beat.
Pour batter into the prepared loaf pan and bake for 50-55 minutes, until golden brown and when a toothpick inserted in the center comes out clean. Cool for 10 minutes in the pan and then transfer to a baking rack allowing to cool completely.