Yes and no. No because it wouldn't be the boredom that would kill you, but yes because it could be the motivator. If you were to kill yourself, then you would die from whatever method of suicide you used, not of boredom. If you were to get so bored with life that you would just stop eating or taking care of any of your natural humanly needs, you would die of starvation or dehydration, not of boredom.