MFA at LBS vs Vanderbilt MSF

Hey guys a little background about me:

• About to be a senior this fall doing B.S in Psychology from a Texas state school, was pre-med but want to change careers(Ik I’m an idiot)

• 3.9 GPA, 334 GRE (164V,170Q) (=770 GMAT), no experience internship wise in finance, taken a lot of science classes like physics, chem, etc also taken a couple calc + stats classes

Do I have any chance of getting accepted to a MFin program with my scores and untraditional background? Would an MFin allow me to successfully pivot my career into good finance internships/jobs?

Thanks y'all!