You can find warranty information here:
Basically, Nissan will not cover paint chips, scratches and surface corrosion resulting from 'normal wear and tear'. Other manufacturers (ie GM, Toyota, Honda, etc) have similar disclaimers.
The paint chipping issue is not unique to the Rogue or even Nissan. I have seen paint chipping on other 'new' cars... BMW, Mercedes, Mazda, Toyota. All had fairly low miles and the chipping was quite bad.
All I can say is try to take it to the dealer and see. They will likely deny any warranty claim, but it's worth a shot.
As for preventing this from occurring, get a clear bra installed. It's a clear plastic film installed on top of the most vulnerable areas (front edge of the hood and above the windshield). When waxed with the rest of the vehicle, it almost disappears. Any competent window tinting shop should be able to supply and install it.