Yes, but two things come to mind.
A 3-pole breaker is typically common trip, and will act exactly as you've said: if one circuit trips, the other two will also be de-energized. This usually is not desired for lighting circuits. Preferred method is to use three (3) 1-pole, trip-indicating breakers with a 3-pole handle tie. This will usually allow only the faulting circuit to trip while the other two remain energized and some of the connected lighting to remain on. The investigating party will then have indication of which circuit tripped and have to de-energize the other two to reset the breakers (preferably resolve trip reason after de-energizing and before reset).
The second is if the spec's require a separate neutral for all line-to-neutral circuits, using a 3-pole breaker is overly expensive and serves no purpose. Using 3 handle-tied 1-pole breakers would also serve no purpose, but substantially less expensive. This leads me to believe the lighting circuit is 3? with lights wired line-to-line (1?) in a delta configuration.