Yes, you could use the indefinite article with "death". " But it doesn't express the death of a specific person, but a person in general.
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Yes, you could use the indefinite article with "death".
See how it is used in a sentence:
"One gun shot is estimated to be seven times more likely to cause a death than one stabbing by a knife is."
But it doesn't express the death of a specific person, but a person in general.