1. Roast poblanos on a fork directly over a gas flame, turning until all sides are charred, about 3 minutes. Set aside to cool in a plastic bag.

2. Heat oven to 350 degrees. Cook onions and garlic in olive oil in a deep skillet over medium-low heat until translucent, 5 to 7 minutes. Add turkey, raise heat to medium, and cook until meat is golden brown, 4 to 6 minutes. Season; add potatoes and stock. Reduce heat to medium low, cover, and simmer until potatoes and turkey are cooked, 10 to 12 minutes. Uncover; raise heat to medium; cook to reduce liquid, 8 to 10 minutes. Peel and seed poblanos, cut in strips, and add to mixture.

3. Place a quarter of the mixture on a tortilla, midway between the center and the edge near you. Scatter a quarter of the cheese over mixture. Fold right and left sides of tortilla over filling and roll up tortilla away from you. Repeat with other tortillas, place in a baking dish, cover with foil, and bake to heat through, about 15 minutes.