Yes, it is. There are often real - life inspirations behind such works, which might include real criminal cases, psychological states of killers, or social situations that could lead to such murderous thoughts in reality.
The story behind 'Murder on My Mind' could be a fictional account of a person's descent into a world of crime and the mental burden that comes with it. Maybe it's about the struggle to come to terms with a past act or the fear of being caught. The meaning is open to interpretation.
Maybe it's the internal struggle of someone who has the urge to commit a murder or is consumed by guilt after one. Different interpretations are possible depending on the context.
It might be a book if it focuses more on the detailed inner thoughts and psychological analysis of the person having murder on their mind, as books can often delve deeper into such aspects. However, if it's more about visual impact and a more streamlined narrative, it could be a movie. Without more information, it's hard to tell for sure.
Since I don't know the exact story, key elements could potentially include the mental state of the killer. It might be things like their motivation, whether it was driven by jealousy, greed, or some other psychological factor. Another element could be the way the investigation was carried out, especially if it had to deal with psychological aspects of the case.