Yes it's possible die from drinking too much caffeinated based coffee but you'd have to drink probably 4 to 8 12 cup pots of coffee everyday for the coffee to cause and overdose on caffeine.
Drinking coffee in moderation or 1 pot of coffee per day is perfectly okay and can be healthy for your heart as well as your overall health.
If you notice jitters or other problems then it would be best to cut down on the amount of caffeine and coffee you drink.