No.

Source: https://en.wikipedia.org/wiki/Betteridge%27s_Law_of_Headline...

EDIT: Some further elaboration: I'm sick of the question. The answer is: not in any sense that would be meaningful to the people to whom this stuff is being told. You're just being misleading by implying that the sum of positive integers can converge. I don't want to hear any "But if you take this analytic continuation..." or "But in a certain sense...", they're just misleading as the thousands of proofs that 1=0.