Ballistically on paper, yes. Practically with old WW2 issue ball ammo, most period rifles were capable of 3-6 in precision, or in common tern 3-6 MOA at 100yds
At 70 yards a human head is about 10MOA. A perfectly zeroed rifle theoretically could keep its rounds within that size target.
But I think it unlikely, being a trained sniper and competitive rifleman,that the shots could be done in rapid succession and with repeated precision and accuracy.
Yes, I watched the documentaries stating otherwise too.
Today it is more likely, as even I can put 6 or 7 of 10rounds into the 2.7 inch X ring prone at 300 yds in rather quick succession with my AR15A4 service rifle. But not as fast nor precisely with my M40A5 clone in 762 NATO/ 308 Win which would be recouping similar to the 160 grn 6.5 bullet in a Carcano carbine.
But, we may see someday.
Prone with an M-14 I put nine under one spotter at 300yds,
they couldn’t find the tenth so called it a flyer.
Someday maybe we’ll learn the truth.