Will there ever be the ability to get off the ship and move around inside a ship? Like the ability to walk to your other ships to go to a mission center and get missions.

No, that's not in the works for VO AFAIK, Star citizen has that shit if you don't mind bugs and doling out cash for spaceships.

Eve-Online implemented it but then removed it because it really didn't bring much to the game outside of people making machinima with it, essentially it gobbled up devtime/resources and despite being cool didn't really bring much to the gameplay that is space pewpew.

We have pretty limited development resources, and I strongly believe in putting those resources towards areas where they're likely to yield the biggest benefit to gameplay. I'm not sure that walking around on stations adds much, other than immersion.

It would be "cool", and we might do something like that eventually, or even some minimal pre-baked version for VR, but at present I'd rather put the time into content.. more ships, addons, drops, enemies, missions, group gameplay, floating pirate stations, whatever. Stuff that directly impacts the current game, for everyone.

incarnate happens to say "floating pirate stations"... and my imagination goes completely wild with that..lol