Is it true that every person has their share of luck, and must someone named "Fatin" change her name because the name is derived from "fitna" (strife/temptation) and "futun" (allure/enticement), and both are from Satan?

We do not understand the questioner's intent in their first question. As for the second question, the word "al-fatin" (the tempter/seducer) means one who misleads from the truth, and it is used to refer to Satan. It may also be used metaphorically in poetry for one who is enchanted by another. Based on this, changing this name is Islamically required due to the negative connotations it carries, such as temptation (fitna) and devilry, not because it is believed to be "unlucky." Furthermore, the advice to choose a name with two repeated letters has no basis in Islamic law, and a Muslim must avoid listening to channels that promote charlatanism and sorcery.

It has been established that the Prophet, peace and blessings be upon him, used to change ugly names. He changed the name "Aasiyah" (disobedient) to "Jameelah" (beautiful), and he changed the name "Hazn" (grief) to "Sahl" (easy). It is also reported that he changed other names like Al-Aas, Aziz, Utlah, Shaytan, and others. He also changed names of places with negative connotations to good ones.

Scholars have mentioned that naming a child with a name that has an ugly meaning, or a name that implies praise or insult, is disliked. This is because the listener might think that the name is a description of the named person. Names have an impact on those named, and thus one should avoid names that include a blameworthy meaning.