We have .22LR matches at 200 yards at our local shooting club. Once your zero is established, and as noted above, the only real problem is calling the wind in order to keep your bullets in the black.
Not only is an accurate rifle needed, but also a good set of match aperture sights or a good quality scope with lots of elevation in its adjustments. Naturally very good ammunition is good to have too. Subsonic match ammo is usually the best.