Absolutely! I have a degree in history and Spanish literature. It was a little tough at first because during interviews, people wanted to know what experience I had if I didn't have marketing as a major. I learned there were some folks who couldn't see past that, so I had to develop a bit of a tough skin. But it also helped me focus my search on what I really cared about. When you can speak passionately and demonstrate how you think, the smart employers will take notice. Tell them about the skills you have, what you're interested in, and how you can help them. Also, you might consider an internship.