Software engineering is a tricky title because it doesn't tell you what they actually want. For that you'd have to look at what their actual requirements are for any given job offering. They might want someone with a 4 year degree in CS or computer engineering, or they might want a code monkey who was self-taught C. An IT position with the government is the former and will require a degree for certification, or at least a substantial amount of postsecondary education in combination with prior experience in the field. Private sector jobs can pick whatever certifications they want and may often have none. This is true for most technical fields, not just IT. Be forewarned though that especially for no certifications, it's going to be a long time before you make the big buks. Even right out of college you're not going to be making a lot.
Contrary to what a lot of anti-intellectuals will tell you, a degree in that field can be a useful investment. A lot of employers have hard requirements of a degree for more advanced and high paying positions, and without one you will hit a brick wall in your career. The people like Bill Gates who dropped out of college and went on to form multibilliion dollar companies are the exception to this, not the rule. You might as well be planning to win the lottery if that's how you think things will work out for you. That being said, if you're content where you are without a degree, then there's no reason to get one. Everybody's different in that regard. Some people like the idea of doing a job where they do the same thing every day for the rest of their life, and if that's what you want, go for it. But hindsight might bite you in the ass there, because your priorities today are not going to be the same in 10 years, or 20 years, and it's only going to get harder to go to back to school as you get older. For every 25 year old out there that got a degree and wishes they hadn't, there's a 45 year old who wishes they had. Having a degree will open a lot of avenues for you, but it's up to you whether those are avenues you want to take.
If you think going to college is a good idea for you, do it. If you don't think it's a good idea for you, don't do it. And don't listen to people who say that everyone should go to college, or nobody should go to college. Those are people who like sniffing their own farts. Most importantly if you do it, don't get suckered. You don't need to dig yourself 150k into debt to get a degree.