Cut the chicken breast, red bell pepper, zucchini, and red onion into 1-inch uniform chunks.
In a medium bowl, whisk together the extra virgin olive oil, half of the lemon juice, dried oregano, garlic powder, sea salt, and black pepper.
Add the chicken and vegetable chunks to the bowl and toss until every piece is thoroughly coated in the marinade.
Thread the marinated chicken and vegetables onto skewers, alternating between the protein and the different vegetables.
Preheat a grill pan or outdoor grill to medium-high heat and lightly grease if necessary.
Grill the skewers for 10 to 12 minutes, turning every few minutes, until the chicken is cooked through and the vegetables are slightly charred.
While the skewers cook, stir together the nonfat Greek yogurt, the remaining lemon juice, and the fresh dill in a small ramekin.
Remove the skewers from the heat and serve immediately alongside the chilled yogurt dipping sauce.