Heat a large, heavy pot over medium heat. Add the cumin and coriander seeds to the pot and toast in the dry pot until fragrant, about 1 minute. Remove the spices from the pot and grind them to a powder. Set aside.
Drop the coconut oil into the pot and let it melt/heat up for 30 seconds. Add the shallots to the pot and cook, stirring frequently, until soft and translucent, about 3 minutes. Add the zucchini, celery, and apple to the pot and stir. Add the ginger, ground cumin and coriander to the pot and stir to distribute the spices among the vegetables.
Add the vegetable stock to the pot and stir. Season with salt and pepper. Bring the vegetables and broth to a boil and then simmer, stirring here and there, until the zucchini is very tender, about 10 minutes.
Add the chopped greens and coconut milk to the pot and stir to mix. Keep simmering and stirring until the greens have wilted and are bright green. Remove the vegetables and stock from the heat.
Purée the soup with a stick blender or in batches using an upright blender. Return the puréed soup to the pot and bring it to a boil. Stir the fresh lime juice into the soup and adjust any other seasoning. Serve coconut green soup hot with any garnishes you like.