There was no public storytelling during the time of the Messenger of Allah ﷺ, nor during the time of Abu Bakr, nor during the time of Umar.
حدثنا علي بن محمد حدثنا وكيع عن العمري عن نافع
لم يكن القصص في زمن رسول الله ﷺ ولا زمن أبي بكر ولا زمن عمر
Sourcing, its isnad is hasan. See hadith nos. 366 and 1299 regarding the status of Umari, from Nafi.