<p>There have been several anedoctal examples on CollegeConfidential of non-BSME holders who later earned an Engineering MS. Many of them, maybe most of them, were BA/BS in Physics, Chemistry or Mathematics. Check the individual graduate schools’ websites. At some renowned Engineering schools a Physics, Chemistry or Mathematics major can earn an MS in just over 1 year of study; maybe even less than that, depending on the specialty and the student’s academic preparation/ background. School have such programs because often it’s employers whom are paying for the MS.</p>