I used to work for a multi-national, multi-disciplinary consultant as a common or garden Civil Engineer. I had been with the same company since I graduated and began to get wanderlust about a year ago.
At the moment the oil and gas market is flying high and there is a massive skills shortage (in particular the UK, not sure about the US), however, to cut a long story short, I applied to my current employer (An offshore oil and gas contractor) with my general civil engineering background and got the job with no O&G experience except filling my car up with petrol.
They are of the opinion that an Engineer is an Engineer, regardless of industry, and can be retrained to suit the requirements of the company.
We have bases in Brazil and Gulf of Mexico, so I would say it is one hundred percent possible.