Heat olive oil in a large Dutch oven over medium heat. Add the ground chicken and break it apart with a wooden spoon as it begins to cook.
Immediately sprinkle the Italian seasoning, paprika, kosher salt, black pepper, and red pepper flakes (if using) over the chicken. Continue cooking and stirring, allowing the chicken to cook through and absorb the seasonings, until it is no longer pink. Transfer the cooked chicken to a plate and set aside.
Add the diced onion to the same pot and cook over medium heat, stirring occasionally, until the onion becomes softened, about 3 to 4 minutes.
Stir in the minced garlic and cook for about 30 seconds.
Add the potatoes, chicken broth, water, and chopped sun-dried tomatoes. Stir everything together, then bring the mixture to a gentle boil over medium-high heat.
Once boiling, reduce the heat to a simmer and cook for 12 to 15 minutes, or until the potatoes are fork-tender.
Return the cooked chicken to the pot. Stir in the chopped kale and let simmer for 3 to 5 more minutes, or until the kale is wilted and tender.
Stir in the heavy whipping cream and cook for another 1 to 2 minutes to warm the sauce.
Remove from heat.
Serve warm, topped with grated Parmesan cheese and fresh thyme if desired.