In my opinion it would be a mistake on your part. Engineering management degrees usually involve at least 30 credits of technical courses for a maters, or thats the way my school works anyway. These courses usually involve math courses(fourier transforms, vector calc, diff-eq, etc) along with many systems courses like system optimization and numerical methods. If you think you can handle these courses then go for it.
Most companies won't put a non-engineer into an engineering management position. You need to know the science and physics along with the bureaucracy. You could probably get a job at Chrysler though, they will make anyone a manager.