Not really, 3e is a well over a hundred years out of date and most of the NPCs are dead.
A brief look at 5e FR makes it seem at first glance like it's more like 3e or even 2e, the basic geography has reverted, a bunch of destroyed empires are back, as are many Gods, but when you get into the details 2e, 3e, and even 4e books are useful only as historical documents.
Look at how different Chult in 5e from any other edition, Ra (not counting Horus-Ra)
hasn't been alive since BEFORE 1e for one example.
5e's growing Pantheon is a mix of deities from multiple editions, including many who died, and a bunch of new Gods, thanks to unified none human pantheons.
The nations are a mix of 3e and 4e, Mulhorand,
Unther, Halruaa, Lantan, ect..., from 3e, with Tymanther, Dambrath, Knights of Vaasa, Estond (may have misspelled that Paladin nation), ect... are still around and there are stuff unique to 5e.
Also 5e it seems uses the default Great Wheel Plus cosmology instead of the World Tree.
So really we need a 5e FRCG, because it's very different from any other edition.
