Yes, Some do!
Women tend to answer questions like this from their own perspective. However as any so called "nice guy" can tell you they have seen lots of women chase after the "cocky guys".
Very rarely do you find a so called "cocky guy" without a woman. Truth be told only a man who feels he has (something) to "brag about" is likely to be cocky.
I don't say this to encourage cocky behavior but I do believe in telling the truth. There is someone for everyone.
Be yourself! Best of luck!