Can caffeine deprivation cause death?

I’m probably semi-dependent. I drink coffee and tea all day everyday except for Tuesdays and Thursdays. On those days, I’m beyond mellow. Usually on Thursday I’ll have a headache and feel tired all day. Sometimes the headache feels pretty darn gnarly.

Since caffeine is a stimulant can not having it result in perhaps a stroke? (All I remember from Psychology 100 is that when drugs enter the body regularly the brain will slow down in production of natural chemicals that would normally run the body)