I think it could happen with any phone, though bigger screens probably don't help. From what I can tell its usually caused by the difference between your eyes looking at the screen and your peripheral vision seeing everything around and behind your phone. I know some people who feel nauseous when using any 3"+ screen mobile and moving, so walking or in a vehicle even.
If that's the case you might be able to mitigate the issue by holding the screen closer to your face, but I don't think it's anything Android specific. Certainly not Nexus 5 specific.