While not exhaustive...
While not exhaustive, the list serves the purpose of demonstrating that this phenomenon occurs naturally among normal human beings from all walks of life. Therefore, scientifically speaking, it is quite possible that a child demonstrates abilities that adults can not. Also religiously speaking anything Allah desires will happen no matter how strange. Indeed Allah (SWT) asserts unequivocally in Quran that if He wanted something, all He has to do is to say to it is: "Be! and it will be!". Q2.
Every human is mortal. Then, how can Imam al-Mahdi (AS) live so long? Yes, every one but Allah is mortal, and in fact, Imam al-Mahdi will pass away too. But the difference is the length of life in this world. The holy Quran and the prophetic traditions inform us that some people have had/have long life in this world. Thus the possibility of the occurrence of such phenomena is confirmed by the religion of Islam.
Are you aware that according to the Quran (see 29:14), Prophet Noah has just been prophet for 950 years? His age should have been even more than that because we should add his age before prophethood to the above number. Do you agree that Prophet Jesus (AS) is still alive? He is, in fact, 1995 years old by now. Of course, he is not living on the earth. He is rather in the heavens, and according to the Muslim's belief, he will come back to the earth, and will pray behind Imam al-Mahdi (AS).
Do you agree that al-Khidr (AS) is still alive? Quran mentions the story of his meeting with Prophet Moses (AS). He existed before the time of the Prophet Moses (AS), and as such, al-Khidr (AS) is now more than 3000 years old! He lives right here on the earth, but we can not recognize him (fairly similar to the case of Imam al-Mahdi). He serves Allah (SWT) as one of His agents.
The Hanafi scholar, Sibt Ibn al-Jawzi, in his book "Tathkirat al-Khawas al- Ummah", pp 325-328 gives the names of 22 people believed by Muslims to have lived various ages from 3,000 down to 300 years! No doubt! Allah has the ability to give a very long life to His servants, but He also has assigned a death time for everyone (including the above mentioned individuals) which can be very soon or very late.
Moreover, scientifically speaking, there are no objections whatsoever to the extended life span assertion. A group of scientists conducted a series of experiments at the Rockefeller Institute in New York in 1912 on certain "parts" of plants, animals, and humans. These scientists included Dr. Alex Carl, Dr.