I'm just going to throw this out there, but with the end of the DB questline it could play into the next TES game quite a bit. Possibly having your character become the new Emperor or something of that nature?
The answer to that is a big fat "no".
Not only does the player have basically no means to claim the throne from a point where the only people who have ever heard of him/her are in Skyrim, the province which may well have just broken away from the Empire in rebellion thanks in no small part to the very same person who is also the previous emperor's murderer.
Mostly, however, it would be completely impossible to have a next game with an emperor that actually says or does anything if that emperor could be of any gender, any race, have any background, be a warrior/mage/thief/jack-of-all-trades, be a sociopath/knight-in-shining-armor/mercenary/scholar, or generally be an absolute blank slate about which almost nothing is known.
Nothing about the player characters of any of the games can be written, except that they participated in the main questline, which cannot be made non-linear for the purposes of keeping lore coherent. Otherwise, they have to Dragon Break again.
Arena's Eternal Champion is basically never really mentioned again.
After Daggerfall, they just killed the main character to stop him/her from mattering anymore. The multiple plotlines required Dragon Breaking.
Morrowind sent the Nerevarine off to Akavir for no particular reason where he/she could play around in someone else's back yard without having to **** up the lore because nobody knows what happens in Akavir.
Oblivion converts the player character into Sheogorath, which is somewhat better than saying they got on a boat to nowhere or killing them off, since it seems kind of cool, but it also involves overwriting your character's original personality by going insane as the Madgod where they will presumably forget who they were before, and may just change what their form is at random just for fun so that what they used to be wouldn't matter so much anymore.
Skyrim has to dispose of the Dragonborn in a way that sounds nice and epic so it doesn't hurt people's feelings, but so that it makes sure the Dragonborn can't **** up lore any more than necessary.