Mmmh. Yeah, how about we do the math on that?
There are 8.3 billion humans alive right now.
If people just stopped breeding altogether, and the birth rate dropped to zero, and then one person died every second, it would still take 263 years for every human to die.
8.3 billion divided by 60 equals 138,333,333.3333333 minutes.
Divided by 60 again is 2,305,555.555555556 hours.
Divided by 24 is 96,064.81481481481 days.
Divided by 365.24 is 263.7331909809604 years.
So... no.