Preheat your oven to 400°F and line a large baking sheet with parchment paper.
Drain and rinse the chickpeas, then pat them very dry with a clean kitchen towel to ensure they become crispy.
Peel, devein, and roughly chop the shrimp into bite-sized pieces.
In a medium bowl, toss the dried chickpeas and chopped shrimp with olive oil, chili powder, cumin, garlic powder, salt, and pepper until evenly coated.
Spread the mixture in a single layer on the prepared baking sheet and roast for 20-22 minutes, shaking the pan halfway through.
While the poppers roast, whisk together the Greek yogurt, lime juice, and chopped cilantro in a small bowl.
Remove the tray from the oven once the chickpeas are golden and the shrimp is opaque.
Serve the warm chili-lime poppers immediately with the chilled yogurt dipping sauce on the side.