The quick answer would be no. It is important to note that there was no 'canon' text in either Greek or Egyptian mythology. A text like Homer's Iliad would be widely read - but it would not be considered a set text. There are several reasons for this. Taking Greek mythology as an example, different polis (city states) would have created their own mythologies to justify or affirm their ancient traditions and origins, or for political purposes. The number of city states that link their founding to Heracles or Jason is mind-boggling, while Egyptian cities such as Heliopolis, Thebes, or Memphis would have different mythologies of the Egyptian creation myth to emphasise the role of their patron god and assert dominance over other cities. Another reason would be the oral traditions of the legends themselves. Originally, mythology was not written down and only transmitted through oral recitation, and these recitations would vary in different areas - a poet reciting in Pylos might speak more on the role of the Nestor, the wise king of Pylos, in the Trojan War. These embellishments could very well be the imagination of these poets.

These are the problems historians have to face - with the exception of the Homeric epics, we have no idea whether the other written sources are widely accepted or 'fanfiction'. The context of the sources are also important - is the Oresteia trilogy by Aeschylus mostly based on myth, or did Aeschylus decide to utilize his creative license for entertainment purposes? These are questions we may never have the answers for.

Sources Bremmer, J.N. 1999. Greek Religion. Oxford: OUP. Ogden, D. 2007. A Companion to Greek Religion. Malden: Wiley-Blackwell. Parker, R. 2011. On Greek Religion. London: Cornell UP.