Now that I think about it, it may make sense to have a negative skill rank. An ewok in my game could start with a -1 (one difficulty upgrade) in piloting skills. If a player would want to do that I could give him +5 xps to start, but make it 10 xps to train a -1 to zero. That would hopefully stop a player from having all -1s besides the skills he wants. I'll have to think about this some more to see if I'm needlessly complicating my game.
I'll have to decide before this weekend, because I'm starting a new game where the wookie was captured as a child and the trandoshan hunter who captured her is training her in combat so he can release her into the wild for a safari. We decided that she would not take gunnery or ground piloting (even though they are career skills) because she would have had no way to train them in captivity. I may want to see if she would be interested in a negative rank in a couple skills.
... I would suggest not allowing players to take negative ranks in skills. YMMV