Assuming the active ingredient of the energy drink was caffeine - then no. It would take at least 100 cups of coffee to kill you (of course you would likely get sick and vomit long before that). The LD50 (lethal dose for 50% of the population) for caffeine is around 200mg/kg. So 200 milligrams per 1 kg of body weight (2.2lbs). Caffeine should not be abused - it is an intense psychoative drug which is very addictive and can cause many negative health issues.
That's a very stupid thing to do. Depending on the particular drink people have been hospitalized for less than 12. I took one person to the hospital myself. Best case, you will hurt your health long term.
We have all heard about the teenage boy who died from energy drinks. I do not drink energy drinks, and I believe they are unhealthy, but I would like to clarify something. Energy drinks are not supposed to be consumed by teens and no more than 2 a day. So if you have a teen having 10 a day, you may not die, but you definitely will have harmed your body.