Preheat oven to 425 degrees. Place trimmed asparagus on a baking sheet and drizzle with olive oil. Bake for 15 minutes. remove from oven, and let cool.
Add coconut oil to medium sauce pan and heat until melted on medium heat. Add in onion and garlic and cook for 2-3 minutes until onion is translucent.
Add in peas, coconut cream, almond milk, and vegetable broth. Bring to a boil and then let simmer for 5 minutes.
Use a hand immersion blender or transfer soup to a blender, and blend until creamy. Next blend in asparagus, and again blend until creamy.
Transfer soup back to sauce pan and simmer for 5 minutes more. Add in nutritional yeast and lemon juice. Season with salt and pepper and serve.