Is it possible to die from neck surgery?

Unlikely: Depends on what the operation is in determining risk. If you are referring to an operation for disc disease you are unlikely to have a complication that would result in death.

potentially: The incidence of mortality with most neck surgeries varies by the procedure being done. All that being said, even the safest surgeries have a low but real risk of death, whether that be from an anesthetic, medical, or surgical complication. In the typical spinal surgeries we do on the neck, the mortality is significantly less than one in one thousand cases, so it is exceedingly rare.