In a mixing bowl, combine warm almond milk and yeast. Let sit for 5 minutes.
Add melted coconut oil, sugar, and salt to the yeast mixture. Stir to combine.
Gradually add flour, mixing until a dough forms. Knead for 5-7 minutes.
Place dough in a greased bowl, cover with plastic wrap, and let rise for 1 hour.
Roll out dough on a floured surface into a rectangle. Spread melted coconut oil over dough.
Mix brown sugar and cinnamon, then sprinkle over the dough. Roll up tightly and cut into 12 rolls.
Place rolls in a greased baking dish, cover with plastic wrap, and refrigerate overnight.
Preheat oven to 350°F (175°C). Bake rolls for 25 minutes or until golden brown.
Mix powdered sugar, almond milk, and vanilla extract to make icing. Drizzle over warm rolls.