I did my AAS (Associate/2-year degree) while working full time, with 3 kids and going through a divorce. We were told not to work, but I was forced to tell them if I didn't work, I couldn't continue in school. With a 4.0, they let me slide. In fairness, I didn't go to work full-time until my second semester, but I proceeded to bust my tail for the next 2 years.
That was 25 years ago, but I was still a Mom and there were still only 24 hours a day back then. Yes, it's been done....and you can do it too. For what it's worth, a previous poster said something I always found to be true: If I planned the best I could (and I was always an uneducated high-school dropout with 3 kids under 5 y/o, so that was a low bar), I always found a way past the obstacles.
I know that's vague and didn't help much. What I did once the kids were in school (yours is 6 y/o) was work nights and sleep while they were in school. When mine rode the bus, they were gone from 7:30 to 4. That left me time to sleep and get them off the bus. We were poor so we did things like study for school side-by-side, feed ducks day-old bread at a local pond for fun; there are so many fun, free activities you can find on the internet today. Just print out your local library and bookstore activity schedules. Lowes and Home Depot have great free building workshops for kids every month. I used that study time to make index cards and later, picture schematics that helped me visualize concepts. Anytime I was waiting on a pt. or co-worker at work.... or on break.... I was studying. As long as you pull your weight at work, most people - in my experience - are encouraging about you attempting to better your life and your knowledge base.
I would also make a quick meal for the kids. They went to bed around 9. I got ready for work and prepared lunches/whatever for the next day. The sitter came in at 10:30, I worked 11-7, and was home to see kids before they left.
I wrote all that to maybe help you spin off ideas of your own and help you see you can do this too. Have you explored scholarships? Are they available at your school? Do you keep your grades up, or are you completely new to secondary education (post-high school)? Have you had a face-to-face meeting with a financial aid counselor? Are you looking at a private, for-profit, or state school? The tuition difference matters. My point is: There are so many variables here that it's hard to provide perfect advice. Only YOU know what your life will allow and that makes YOU your own expert.