Its gonna be real hard - I looked at going into engineering from physics. Even doing a masters in engineering doesnt get you a masters in engineering, it gets you a masters in science in engineering. Crucial difference (its MSc, not MEng!) All grad schemes I looked at were for MEng, or maybe BEng and MSc etc but not Mwhatever and MSc(in engineering)
Its very very annoying - makes me want to hit the teachers that told me "yeah, if you want to do engineering do a physics degree!" grr