Think again.
It is theoretically possible, but not in practice. The problem is the ammo velocity consistency. Match grade ammo, which is standard velocity (SV) has the most consistent MV (muzzle velocity) and lowest ES (extreme spread). Furthermore unlike high velocity (HV) ammo, it never crosses the speed of sound threshold. Match ammo always remains sub sonic, below the speed of sound. When HV .22LR ammo is used it slows down quickly enough to experience transonic turbulence, which adversely affects its accuracy. Even .22LR HV ammo made by manufacturers such as Eley, RWS, and Lapua is less accurate than SV ammo. That's why .22LR target shooters use standard velocity ammo.
Now for the practical part. At 200 yards a one fps difference in muzzle velocity causes 1/10" of vertical spread. The best match ammo invariably has an ES of at least 20 fps, a figure which allows for superb accuracy at 50 yards and very good accuracy out to 100. A 20 fps ES will cause 2" of vertical spread even for a rifle and shooter who can shoot perfectly. The further out the target the greater the difficulty of maintaining MOA accuracy. It is not a simple a geometric increase as the distance increases. What this means is that if you can shoot 1/2" at 50 yards, that doesn't translate to 1" at 100 yards, which is double the distance. In practice the group size will more than double with a doubling of the target distance. In short, if you can shoot 1" groups at 100, that doesn't mean you will get 2" groups at twice the distance.
To sum up, shooting long distance with .22LR has the challenge that MV inconsistency translates into a significant difference in POI. Even if you were fortunate enough to find ammo that was very consistent, which means it has an ES of only 20 fps, that would cause at least 2" groups. That kind of ammo is uncommon. Furthermore, the .22LR is relatively easily affected by wind, which is why serious target shooters use wind flags and must know how to read them.