No, we don't. The claim you sometimes hear - that the number of people living today exceeds the number of people who ever lived - is a myth, according to the linked article in Scientific American.
Apparently some 100 billion people have lived since mankind first emerged around 50,000 BC. Today's global population of 6.5 billion is thus about 6.5% of people who ever lived.
Fact or Fiction?: Living People Outnumber the Dead: Scientific American