It’s equally possible that there was more than one or even a day where only people were born and no one died.
There was a low point where only about 2,000 humans were estimated to be alive. Certainly you couldn’t have had someone dying everyday then
If an equal number or greater of people are also being born every day, you could.
The math does several limit the possible number of births. Only about 1,000 of those people would have been female and even if we’re generous and assume 80% were of child bearing age that gives you 800 women that could have children.
That’s going to be an incredibly low birth rate and it’s very unlikely each woman would be having a child each year.