Most Helpful Guy
I'd say, no. But that is not a definite answer. I think this is a personal thing that differs between each guy. Some people may (albeit unconsciously decide that, yes, this say something about a girl's character). Yet at the same time an other guy might think the way a girl looks (in terms of looking, gazing, not 'looks' as in good-looking), laughs or writes tells them how they think a girl behaves.
However, there might be more to it. As a thumb of rule 80% of our communication is through body language. So yes, in a certain way this might tell someone something about the character of the observed. bare in mind though that body language only means something if it comes in 'packages'. With that I mean that one sign does not say much, a combination of several signs does.
Long story short. The way someone walks does not explicitily say anything about that person. Some might percieve a walk as being shy or confident but this is personal. In combination with other signs or some other knowledge it might be the final piece to the puzzle in determining one's character (altough it is now believed that humans decide other people's characters within 15 seconds of meeting one another).
I hope this helped.