In 2007, this was not true for 5,309 people in the United States[0]. Considering 3,258,411 people were born in the United States in 1972[1], I think the question can be more accurately answered with:

"For ~0.163% of the United States population, yes, life will end at 35. I am not sure about globally, maybe slightly higher, but globals are bad practice anyway."

[0] https://www.cdc.gov/nchs/data/dvs/mortfinal2007_worktable310...

[1] https://www.infoplease.com/us/births/live-births-and-birth-r...