I have a friend who started studying with a newborn and three year old. She was doing medicine so it was a full load and long days. During her lunch break she would have to run off and express milk so even that time wasn't a break! Her husband was o/s at the time, but her MIL lived with her to help cook dinner etc. while she studied.

Now we haven't communicated for a few months (for obvious reasons she is too busy), but she was loving both the baby and her study last time we did.

If you love what you study it is possible.