I vote no. Would the parent be neglegent if the 17 year old kid took the car keys without permission and intentionaly drove into a crowded area? You can take all the preventive measures you want. If someone is determined to comit murder followed by suicide, and does not let anyone know of their intentions how can you hold the parent responsible.
I do not remember who made the post not long ago and I will probably botch their wise saying. "It is a sickness of the head, not the hand".