No. There are lots of stories about various very long versions of Dune. The most common story that is Lynch had a 6-hour version and that the studio forced him down to 2. It's a myth. The theatrical cut is the only cut Lynch did.
IIRC Lynch did not have final cut on Dune, and was so bitter about it he never made a film he wasn't contractually allowed to edit himself again. If you look at the deleted scenes, they show Lynch was going for a very different tone to the finished product.
The "6-hour version of Dune" is probably confusing the Lynch treatment with Jodorowsky's attempt at a Dune film -- which was never filmed (the script wasn't even finished!), but whose production was documented in the 2013 Jodorowsky's Dune:
Possibly, but the rumours of a 6-hour and even longer cuts go back years. I remember discussing this way back in the late 1990s. It's a very persistent rumour.
There was never a four hour version. It doesn't exist - there's a version with a bunch of filmed material and storyboards of what might have been filmed, but that's it.