I just don't think this is defined in recreational flying (which I assume is what you meant by "GA pilot").
The FAA considers pilots with above 1,500 hours to be high-time:
The FAA's desire is that by the time a pilot has their 1500 hours they have developed enough skill proficiency, aeronautical knowledge, and understanding of airport operations to make better and safer decisions in the air.
source
When getting a job, there are some that are considered suitable for "low-time pilots" (probably on their way to those commercial jet jobs). Low-time might be those under 500 hours:
In general, low-time pilot jobs are filled by pilots who have fewer than 500 flight hours or less. source
Studies have been done of predicting accident rates based on total flight hours, which might well hint at which point you become a safer pilot.
Is there a range of pilot flight hours over which general aviation (GA) pilots are at greatest risk? More broadly, can we
predict accident rates, given a pilot’s total flight hours (TFH)?
With a broad conclusion that accident rates do seem to tail off quite dramatically somewhere around the 1,500 hour mark - quite probably the reason why the FAA use this number.
Anecdotally, at around 400 hours I very much consider myself a "low-time pilot". I am also consciously aware from speaking to peers that 300-1000 hours is where pilots feel (over-)confident in their ability, and possibly make the most mistakes.