Warm 1 tablespoon of coconut oil in a medium nonstick skillet over medium-high heat. Add onion, curry powder, coriander, and fennel. Cook, stirring frequently, until onion starts to soften (about 2 minutes). Add mushrooms and stir.
Cover and cook mixture for 4 minutes, or until liquid pools in the pan. Uncover and cook until the liquid is evaporated (about 3 minutes).
Transfer the mixture into a food processor, add chickpeas, and pulse until well chopped. Transfer the mixture into a bowl. Add carrots, walnuts, cilantro, sea salt, and black pepper and mix well.
Lightly dust hands with flour. Shape the mixture into 4-inch patties (makes approximately 6 patties).
Warm the remaining oil in a large skillet over medium heat. Place the patties in the pan, and cook for about 4 minutes, or until browned on the bottom. Flip and cook until heated through.