Is it possible to die for not removing wisdom teeth?

Technically yes: If any tooth is severely decayed, an abscess can develop. The bacteria can spread rapidly and enter your bloodstream, spreading to other parts of your body. Before the discovery of antibiotics, dental infections were one of the leading causes of death... That's why people extracted so many teeth. Although rare today, it is not unheard of.

Rare instances: If the wisdom tooth becomes infected and you don't receive any treatment for the infection, it could be life threatening.

Dental anesthesia: Yes, but this doesn't happen very often. Of all surgeries done every day, you only rarely see this and it's not due to removing the wisdom teeth (or the surgical expect of tooth removal). The complications that end to cause deaths just like any most other surgeries is anesthesia related (typically being from Conacious sedation and/or general anesthesia), not the local anesthetic numbing agent.

Not likely: However, not getting a problematic wisdom tooth removed can endanger your oral and overall health. See your dentist or OS ASAP.