In a large sauce pan place grape seed oil in a large sauce pan on medium-high heat. Then add the onion, poblano pepper and garlic. Cook for 2 minutes, mixing often. Then add 1 cup chicken stock, mix well, and place the lid on the pot. Cook for 3 minutes.
While the onions, peppers and garlic cook rinse and drain the beans and chop the chicken. Add the beans, chicken, frozen corn kernels, 1 lime juiced, 2 cups chicken stock, chili powder, cumin, and salt to the pot. Mix well, place the lid on the pot and cook on medium for 10 minutes, stirring occasionally.
Stir in fresh cilantro before serving. Divide white chicken chili between 4 bowls. Top with a dollop of plain Greek yogurt. Enjoy immediately.