Preheat your oven to 425°F and line a large baking sheet with parchment paper.
Peel the sweet potatoes and cut them into thin, even fries; slice the chicken breast into thin strips of similar size.
In a large bowl, toss the sweet potato fries and chicken strips with olive oil, sea salt, black pepper, smoked paprika, and garlic powder until evenly coated.
Spread the mixture onto the prepared baking sheet in a single layer, ensuring pieces are not overlapping to allow for crisping.
Bake for 20 to 25 minutes, flipping halfway through, until the sweet potatoes are tender with golden edges and the chicken is fully cooked.
While the fries bake, prepare the aioli by whisking together the Greek yogurt, minced fresh garlic, and lemon juice in a small ramekin.
Remove the tray from the oven and serve the hot fries and chicken immediately with the chilled garlic aioli for dipping.