Hello OP, yes it is possible! IMO, it's just very important that you choose the right course and plan your study time.
I am also a distance learning student - I'm studying for a business degree. When I started the course, I worked full time and I'm also a single parent. I've found that as long as I stick to my study timetable and manage my time efficiently, I can achieve good grades, enjoy the course and avoid becoming too stressed!
The benefit of distance learning is that you can study whenever and wherever you want to so it's really easy to fit it in around other commitments such as work.