Unless you're a serious Bullseye competitor trying to squeeze a round off with one hand, @ fifty yards in a gusty wind. That's when a superior sa trigger pull can make a big difference.
In that situation -- and I'm sure a FINE trigger would help -- I suspect that good eyesight, steely nerves, a steady hand/no caffeine in his or her system, breath control, and a lot of experience shooting bullseye would be even more important. (With all of those things and only a "good" trigger, the shooter would probably do pretty well.)
The best shooters I've known seem to do pretty well no matter what gun they're using...