It depends on the death. There are types of death that can cause or are caused by vomiting.
A horse can not vomit. It is physically impossible, this is why they colic and die.
You die.
Black Death Plague caused bloody vomit fever and tumors. People died within week of infection.
you choke and die.
Cough, Vomit, Die.
You can't vomit up your lung to start with, so you can't die from it.
Choked on his own vomit.
they die and vomit
you vomit or die
No, but he or she will vomit.
Bulimia.
it may vomit or/and die