Do you think the heart remembers?

I was really thinking about this after watching an episode of a detective drama. The case was about this lady who recently got a heart transplant. Right after that she started having the same nightmare about a pair of hands strangling her. She also developed some habits and used terms that were unfamiliar to her. It got so bad that she went to the police and stated that her heart was telling her that its previous owner was murdered (the original owner supposedly committed suicide while in the hospital). No one believed her except for the main female protagonist who took the case. Anyways, she discovered that the weird term that she kept on saying was actually some secret code that the heart's previous owner used with her son. It was their secret that no one else knew. And it was discovered that the lady did not die of a suicide. She was actually strangled by her doctor, who was out for fame because the lady had a unique blood condition. After the truth was revealed, the lady no longer had any of those nightmares.

I was really fixated with this for a while because I saw this episode right after coming back from my psychology class. I'm wondering if something like this is even possible. Does anyone know if there have been cases like this mentioned before?