Spread hummus evenly across each wrap. Layer with tuna, lemon, oil, pepper, carrots, cucumber, tomato, sunflower seeds, pickles, arugula, avocado, and parmesan cheese. Roll tightly and slice in half.
Combine the sparkling water, lemon, and chia seeds. Stir and let sit for 5 minutes for the chia to bloom.
Serve the wraps with chips, pickle spears, and lemon chia sparkling water.