When I was working to pay off my student loan debt I was: (1) Full-time employee (salary job), (2) Full-Time student, (3) Contract worker - this varied from blog writer once a month, babysitting, volleyball coach for a season at a time and paid curriculum writer.
Needless to say, it was a busy time in my life. But, at the time I was in my early 20's, had no kids, and had a wonderful boyfriend. It IS possible, but it will be a lot of work.
2 years later, I have my degree, we are married, we both have great jobs, and we are free of $150k in student loans. Worth it!