Only Capricorn if any sign at all. The rest aren't very independent
I think it depends on the placements, the planets, even the aspects. Romantically speaking, some of the most dependant people I know are Capricorn sun.
I agree with Lykanized overall. Zodiac signs are mere archetypes, I don't think we can determine if someone will be independant or not solely because of them.
Moreover, independence is very wide. One can be independant romantically but dependant financially etc. It's just to hard to figure this out without more information.