I wasn't a single parent student but I was 24 with 2 kids and single with no contact with their dad, and I started a business and built it from the ground up alone.
It was hard, exhausting and stressful. I had both the kids in nursery 3 days a week and with family 2 days a week. I worked when they were out the house, then did dinner, playtime, bath, bed... And then I'd work while they slept. Learned to live on around 5 hours sleep.
It was very hard, and very expensive but absolutely worth it. I earn around £400,000 before tax and I'm only 29. If never have that if I hadn't worked myself to exhaustion and taken the risks.
Do you have any support to save you even a day if childcare costs? It will be hard, and you will need to have discipline to make sure you study when you just want to relax and do nothing, but you can do it.
You'll get income support or tax credits (I don't know how it works now) and some universities have a creche with discounted rates for students. You could even do a distance learning course, so you don't need to go into the uni and it would work around your schedule.