No, that is not entirely possible. That is entirely impossible. There have been large scale, random antibody studies in China and S. Korea that reveal the extent of undetected infections in the general population.
Jed you seem to have missed the one nasty fact: There is T-cell cross immunity with older corona infections (possibly also - weaker with flue) .
In case of minor infections, people with cross immunity will not express antibodies! Only in case of a strong infection they will show antibodies that afterwards will vanish relatively fast.
Thus one must assume that e.g. in our country about 80% of all people are more or less immune to CoV-19 - what means if they get it, it will be - in most cases - just an unnoticed short episode.
Because of this it is currently impossible to trace all infected/exposed people!
This virus needs clear thinking minds for understanding it's behavior and also to understand how to cure it. And no two populations are the same!
And Japan is now also failing to contain CoV-19!