Just why not really? A carrot cake bread sounds devine. Though I'm not sure why you'd want to make it into a bread, I don't see why you wouldn't either. Personally, I would leave out the strong spices and perhaps just make a carrot and raisin bread. I think the idea is a good one, but I shall have to see how the practical goes.
Whole Wheat Carrot Cake Bread with Cream Cheese Icing
Whole Wheat Carrot Cake Bread is lightened up and completely delicious! Made with whole wheat flour and greek yogurt, this is such a delicious and moist quick bread! Drizzled with the best cream cheese frosting you will love this recipe!