it seems like crouching under or jumping over the laser traps still adds to that count, even if it doesn't visibly activate. i've beaten multiple levels without activating any, and it doesn't give me the star for that quest. this may also happen with the spotlights but i don't know for sure.
#"trigger traps no more than [x] times" quest glitch
pulsar salmon
pulsar salmon
"trigger traps no more than [x] times" quest glitch