Is it permisible to exaggerate a situation as a joke? And is it permissible to lie in a joke. is it permissible to say a story and then say just kidding that never happened?
All perfect praise be to Allah, The Lord of the Worlds. I testify that there is none worthy of worship except Allah, and that Muhammad is His slave and Messenger.
We did not understand your first question "exaggerate a situation as a joke."
However, lying when joking is not permissible. Abu Hurayrah narrated that the Prophet said: "The slave will not complete faith unless he refrains from lying when joking, and refrains from arguing even when he is upon the truth." [Ahmad, and Al-Albaani classified it as authentic]
Besides, Al-Bukhaari reported in Al-Adab Al-Mufrad, and Ahmad in his Musnad that Ibn Mash’ood narrated that the Prophet said: "Lying is not allowed neither when being serious nor when joking."
There is no doubt that telling a story whereby the listeners would think that it is real while in reality it is not is a lie. Intending of inform them that it is not true after having told them the story does not make it permissible for you to lie.
Allah knows best.
You can search for fatwa through many choices