Preheat your oven to 400°F (200°C) and line a rimmed baking sheet with parchment paper for easy cleanup.
Heat the olive oil in a medium skillet over medium-high heat. Add the ground turkey, breaking it up with a spatula, and cook until browned and no longer pink.
While the turkey cooks, slice the jalapeño peppers in half lengthwise. Use a small spoon to carefully scrape out the seeds and white membranes to control the heat level.
In a medium mixing bowl, combine the cooked ground turkey, Neufchatel cheese, Greek yogurt, garlic powder, onion powder, smoked paprika, sea salt, and black pepper. Stir until the mixture is well incorporated and creamy.
Spoon the turkey and cheese mixture generously into each jalapeño half, pressing down slightly to ensure the filling stays in place.
Place the stuffed peppers on the prepared baking sheet and sprinkle the shredded sharp cheddar cheese evenly over the tops.
Bake for 15 to 18 minutes, or until the jalapeños are tender and the cheese on top is melted and slightly golden brown.
Remove from the oven and let cool for 5 minutes before serving to allow the filling to set.