Depends on the individual university requirements. The expectation would normally be a degree in engineering or a related subject (so if you're a particularly good physicist, for example). Have a chat with the admissions officer for that university if you need to know.
Also, I disagree with the response you had on the difference between an MEng and MSc in engineering. The MEng is an undergraduate degree, usually four years, of which the first three are effectively a BEng course. The final year takes your learning up to (but isn't necessarily all at) the level of an MSc. The MSc is a postgraduate course (hence the need for a prior Bachelors degree), nominally a year long.