Preheat the oven to 400°.
Line a baking sheet with parchment paper.
Toss the butternut squash cubes with ½ tablespoon of olive oil and arrange them in an even layer on baking sheet.
Place the butternut squash into food processor bowl with the onion, garlic, panko, chickpea flour, paprika, salt and pepper. Pulse until ingredients are well blended, stopping to scrape down sides of bowl as needed.
Roll the mixture into tot-shaped cylinders.
Working in batches if needed, arrange tots in an even layer in skillet. Cook until browned on bottoms, about 4 minutes. Flip and cook until browned on opposite sides, about 4 minutes more.
Remove from heat and sprinkle with salt, if desired.