This article discusses the difficulties of predicting and preventing school violence. Though the FBI does have a list of "warning signs" by which to evaluate potential perpetrators of lethal school violence, they do not consider this list to be a profile. This is especially true given that no reliable predictors of lethal school violence have been found.
"Trends. When is a Psychological Profile Not a Psychological Profile? The FBI and School Violence,"
International Bulletin of Political Psychology: Vol. 9
, Article 3.
Available at: https://commons.erau.edu/ibpp/vol9/iss15/3