Just a coincidence I suppose, I don't believe that people could do that, by that theory, you could live longer. However, I thinki it was Einstein said if you want something so badly, and keep desiring it, you'll eventually get it.
Not necessarily. It is just being asked if you could CAUSE your own death, meaning that you could go through a thought process and die. This does not mean that never think that you want to die and live longer. I see where you are going but the body has its natural limitations, the question is can it veer off the chosen path and reset the boundaries.
As for my opinion, I do not BELIEVE (I am not for certain) that it can happen by nature. Your thoughts are only one part of your brain. Your brain functions in many ways at the same time, coordinating your body's efforts to help you live. This is the reason you can walk, talk, breathe, blink, and so on at the same time. So, if you think that you want to die, your thoughts are processing that but the other part of the brain is still doing its function. The part of the brain that handles routine behavior (heart beat, breathing pattern, and blinking) does that same process, i.e. sends the same signal, over and over to maintain your health. The body is built to survive, and it will do so until it cannot anymore.
But, there haven been connections with personal grievances to death. "Broken Heart Syndrome" is a condition where, after a major personal tragedy (loved one dying or other devastating event), causes a person to fall into deep depression. Said person's body would start to shut down, specifically their heart. This is not by choice but could be much the same idea as causing your own death.
Your great grandmother's death was most likely a VERY timely coincidence, but there is no study saying that it cannot be done (most likely since it causes death). So, is it possible? Perhaps. But, until proven otherwise, I believe that this was a very rare coincidence.