Billions of paper masks in a matter of weeks? Even if the raw manufacturing capacity existed (unlikely), have you considered the supply chain and downstream logistics?
You know, "if a large enough actor really wants to" applies just as well well to computers as it does to paper masks.
The other day I spotted in the SF Chronicle a picture from the 1918 pandemic showing a gathering of people manufacturing gauze masks. [0] Gauze appears to be out of favor as a barrier material today, although I suppose one could get creative and add a paper barrier layer. There are several viable materials for the goal of mitigating transmission. At any rate, this is something open to some guided improvisation with existing supplies.
I don't think any of us are experts in the supply chain logistics of South Korean face masks. I'd rather read about it from someone who is than guessing.