In reality would harsh rejections and then a false accusation make someone a killer?

This is from the movie Valentine 2001:
Then he grows up to be the cupid killer; killing right on Valentine's Day; the day that his life was ruined as a kid. As seen in the video, not only was he harshly rejected (except Kate, the only nice girl) but he got framed from sexual assault by the last girl. He got beaten up badly, expelled from school, labelled as a pervert by all his classmates, send to reform school and not heard from every again.
Would a trauma like that be enough to turn someone into a psychopathic killer? In the end he ended up framing the last woman he killed (the one that framed him when they were kids), making everyone believe she kill all those people.
In reality would harsh rejections and then a false accusation make someone a killer?
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