I went back to school full time and took my yoga teacher training at the same time. I was not working at the time but had 4 children (at the time ages 4-14).
It was insanely busy. I was up until 2 most nights finishing school work. I still tried to stay 'present' with my kids but my husband took over most of the evening duties.
You can do it. You will need to be super organized, have your family on board, have your 'gripe' buddy who will listen and then set you back on track, and most of all, stay focussed on the end goal.
That was 2 years ago. I finished my BA and am now a yoga teacher.
And guess what? It was so much fun I'm taking another teacher training and considering going back to university
Good luck!