The Book of Enoch certainly has mystique, but even the brief mentions of Enoch in canonical scripture attract a lot of commentary, because he is described as not having died:

“Thus all the days that Adam lived were 930 years, and he died.” (Genesis 5:5, ESV)

“Thus all the days of Seth were 912 years, and he died.” (Genesis 5:8, ESV)

“Thus all the days of Enosh were 905 years, and he died.” (Genesis 5:11, ESV)

“Thus all the days of Kenan were 910 years, and he died.” (Genesis 5:14, ESV)

“Thus all the days of Mahalalel were 895 years, and he died.” (Genesis 5:17, ESV)

“Thus all the days of Jared were 962 years, and he died.” (Genesis 5:20, ESV)

“Thus all the days of Enoch were 365 years. Enoch walked with God, and he was not, for God took him.” (Genesis 5:23–24, ESV)

“Thus all the days of Methuselah were 969 years, and he died.” (Genesis 5:27, ESV)

“Thus all the days of Lamech were 777 years, and he died.” (Genesis 5:31, ESV)

The Bible only mentions one other human who left Earth without dying, Elijah. (Even Jesus died!)

That's enough for a curiosity but not, in my judgement, for a minor cultural icon. You need a tiny bit more meat on the legend for that.

Fair enough, but you don’t think that unique characteristic is enough to inspire the name of a character like Stephenson’s immortal wanderer Enoch Root?

That's an exceptionally intractable sort of "would have happened" question, but sure, it's possible.