If a specific bird played way too long a hidden heart condtion, in example, might have triggered some cardio event. Conures are not know for this but anything could happen.
As both of my Good Friends have stated above. There are possibilities, but the only way to determine the cause of death 'as stated' is to have a AV preform a Necropsy.
Very young Parrots can die from a very wide array of illnesses. Over-playing as the causer would be very rare.