It is possible to get a job in computers without majoring in Computer Science, but you'll have to demonstrate your interest (and competence) through hobby projects or extracurricular activities.
I'd estimate that a fairly large number of people in the computer profession have come out of other disciplines. A co-worker of mine was a physics major. He does networking support and software programming. I majored in History (and took several CS electives) and am doing database and web work. Hobby projects I did while at university, good luck, and connections helped me get the job.
One of the things I didn't like about the engineering disciplines at
UWaterloo was their lack of electives. Majoring in something that gives you more electives is one option; another is to take the classes you want, knowing that it will take more than 4 years to graduate.
I also believe that, in the long run, a good worker with many interests is better off in the job market than someone who just concentrated on computers. Your career will demand more flexibility than you think.
