Uh, is that the parody of the Twilight saga?
Yep. And a good one too. Similar to The Starving Games, a parody of The Hunger Games.
It's possible, but unlikely. Still, they'll probably borrow some elements from 2 and 3. Future as well, as you can see in the trailer.
They will surely borrow some elements from the Future saga (we already know that "The Last Lombax" is a thing in this), but I doubt we'll see elements of GC's and UYA's stories… Unless we do get some Nefarious' backstory here.
There just might be a Fizzwidget somewhere, a certain armor, Sasha etc. I mean, supposedly, there will be Rangers.