Software Engineering and Computer Science are very strong jobs to be going for at the moment. A college degree will most definitely help you. Especially if you have 0 experience.
With no experience and no degree, no one will want to hire you.

I got my degree in Electrical Engineering with a minor in CompSci and landed a Software Engineering job months before I graduated.

You picked a great field to get in to. Keep on going with your degree and a job will be waiting for you.

Agreed. Even after I got all my certifications, It was not until I had atleast a year at 2 different jobs before any real companies started to look at me as a prospect. Now 12 years into my career and 12 years of experience on hand, I get job offers for jobs with almost no resemblance to what my skill set is just because I have years of hands on in a related field.

It's best to start out with any job you can get, even if you don't get paid for it.

When I graduated, I started out working for a start-up company and most of the work I did was for free. I took the job because I had sent out dozens of resumes already with no interviews.

Once I had that experience on my resume, I got my first interview at a real software company and was hired right away.

So basically, you're gonna need some experience no matter what kind of degree you have.