Yes its possible! A past Historically Acurate Jam had the theme Mythology, here is a link https://itch.io/jam/historically-accurate-4 . A way in which it can be done is to accurately adapt a myth or folklore story without recreating or adding anything to the source myth/folklore; basically be accurate to the way the story was told at the time.
If you want a more detailed example I participated in that Jam, here is a link to my entry https://puato.itch.io/beowulf-classic , I adapted a part of the Beowulf poem as close as I could to the source and also put some phrases of the poem itself during the gameplay to guide the player, so you basically learned part of the original poem as you played. There are also other entries in that Jam that give examples of what can be done, I highly recommend checking out the submissions for ideas.