In a large pot (6-quart or larger) over medium heat, cook ground turkey in olive oil about five minutes or until no longer pink, breaking it apart with a wooden spoon.
Add chopped onions, carrots, celery, and bell pepper, and cook 5-10 minutes more, until vegetables begin to soften.
Stir in minced garlic, chili powder, cumin, salt, and tomatoes. Bring to a boil, then reduce to a simmer and cook, covered, for 30 minutes.
Stir the beans into the chili and simmer 30 minutes more, uncovered, stirring occasionally.
Meanwhile, grate the colby-jack, and boil the pasta according to the directions on the box.
When the chili is cooked, remove from heat and stir in the cooked pasta and cheese.
Sprinkle with green onions or cilantro, and serve.