Cut the chicken into thin strips. Season with cumin, potato starch, salt, and black pepper. Cook in hot oil until just done—avoid drying it out. Set aside to cool.
Combine all sauce ingredients in a small bowl and whisk until smooth and lump-free.
Peel and cut the carrot and cucumber into thin sticks; slice red pepper and cabbage into thin strips.
Prepare a dish larger than the rice paper filled with lukewarm water. Soak a single rice paper sheet for 3–5 seconds, then transfer to a slightly damp wooden board.
Place the prepared vegetables, herbs, and chicken near the bottom edge of the rice paper. Fold the side edges in, then roll from the bottom up. Repeat with the remaining sheets.
Serve the finished rolls with peanut sauce. Enjoy and happy rolling!