Heat the oil in a large soup pot over medium-high heat then add the onions and sauté them for 1-2 minutes until they start to soften.
Add the bell peppers and cook for 3-4 minutes until the onions are translucent and the peppers have softened.
Add the turmeric, curry, thyme, oregano, salt, and pepper, stirring for 1 minute for the flavors to 'bloom'.
Add the tomatoes and stir to combine all of the ingredients.
Add the non-dairy milk and stir to combine, scrapping the sides so all of the vegetables are in the mixture. Cover the pan and bring the liquid to a boil, allowing it to softly boil for 1-2 minutes.
Turn the heat down to medium and slowly add the grits; stir constantly as they thicken. Cook the mixture for 4-6 minutes until they've thickened and the mixture is gently bubbling.
Turn the heat off then add the chopped greens, covering the entire surface of the grits. Cover the pot and let the greens soften for 6-10 minutes.