Dungeons, no. But there is a good bit that can be done solo. The world areas you can explore around are perfectly safe to go it alone in (once you are an appropriate level for the area). Most of the people are friendly anyway.
Most of the game isn't about going for tiny percentage drops of items to complete quests or get the good gear. It is all doing quests, and dungeons. Dungeons are instanced with groups, so there is no fighting over who gets those kills.
Nope, it's pretty empty out there. And the planet was named after the god. :P
I played SMT Nocturne when it first came out, loved that game but it was just too hard for me. I have the new on on my 3DS but I haven't really gotten around to playing it much yet.