In a large pot, heat the olive oil over medium heat. Add the ground turkey, breaking it into pieces with a utensil. Season with salt and pepper and continue cooking over medium heat for 5-7 minutes.
When the ground turkey is almost cooked through, add in the onion, garlic, poblano pepper, and jalapeno pepper. Cook for an additional 2-3 minutes, until the turkey is cooked through, and the vegetables start to soften.
Add the poultry seasoning, chili powder, ground cumin, and turmeric. Cook for an additional 1-2 minutes, until the spices become fragrant. Pour in one cup of chicken stock and scrape the bottom of the pan, to loosen any bits that may have stuck to the pan.
Add beans, cilantro, and the remaining chicken stock to the pot. Stir to combine. Bring to a boil.
Reduce heat to a simmer and cover the pot with a lid. Simmer on low heat for 45 minutes, stirring occasionally.
Just before serving, whisk in the sour cream.