there is no evidence to prove it has NOT killed anyone; people have died from this shot
That's not how evidence works, with that line of reasoning anything can be claimed to be true. For example if I have no evidence that Jhonny is NOT a pedophile therefore he is one. Do you see how those type of arguments do not work?.
As for the man who died of covid while being vaccinated (assuming it is true and he did not die from other conditions) well, you have to consider that none of the current vaccines for that decease is 100% effective and some isolated cases are expected to have a bad outome.
UNIFORM STANDARDS OF EVIDENCE