California CC student with a 3.7 but my great uncle got a master's at Columbia. Do I have a chance?

That is what I am banking on. I am a History major with a 3.7 gpa. The math I will have done is stats. I am a good stuent, but not an elite student. I have ok extracurriculars and I have been working for years. My great uncle got his master at Columbia, and eventually went on to become the Ambassador of Afghanistan to Indonesia, among a hos of other accomplishments. Does this increase my chances of enrollment?

No.

Please note: applicants are considered to be “legacies” of Columbia only if they are the children of Columbia College or Columbia Engineering graduates.
http://undergrad.admissions.columbia.edu/ask/faq/question/2412