No math background, can I get into a MFin program?

Some advice please,

I am in my senior year in a top-tier Korean university with an econ major and a minor in business. I recently became interested in finance, hence the lack of prep.
I rarely have any quantitative background; my school does not require rigorous math courses for econ majors. Math for econ (B+) and Intro to stat(A+) is pretty much all. My cum GPA is 4.0/4.3.
I have very little work experience(internship) as well. (5mo in a US government organization, 2 mo in local consulting, passed CFA level 1)

Is there any chance that I can make into a decent MFin program, if I take an year to improve my specs (excellent GMAT scores, more work experience, etc)? Any advice would be appreciated very much.

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