Hi Erminio!
That was an interesting question, in my opinion.
I tried it out by copying a webpage (html file) onto my eDGe internal storage from a file on my LAN. Once the file (I tried 2, one html, one htm. Same result.) was in a Local folder I could tap it and get a menu asking how I wanted to complete the action. I have 4 choices, none of which is the native browser.
My choices are: Dolphin Browser HD, HTMLViewer (which I am guessing comes with the eDGe), Miren Browser, and Pocket Casts. However, none of them seem to work from there.
I just tried opening Documents to Go and finding the file in the list of Local files. When I tapped on the file through that interface I got the same 4 options, but this time both Dolphin and Miren browsers opened the file!

The HTMLViewer still didn't work and I didn't even try Pocket Casts (which I will be deleting).
Good luck!!