My wife got a masters degree while nursing and being employed full time. I work from home half the day currently and take care of at least one of the kids during that time. You find ways, even though you may be constantly interrupted. I have many times held a baby while programming with one hand. It seemed to work out. I wouldn't worry about being able to juggle it all at one time unless you plan on doing something that requires real time conferences, like being an on call language translator for a court or something.
Something to consider is that babies tend to start their lives sleeping most of the day, not moving much, and generally being easy to deal with. Your first 6 months will probably be a breeze. Every kid is different, so don't take that as a guarantee. You will find ways to hold them, swaddle them, carry them in things like the baby bjorn or moby wrap and get everything you need done.
As they get to the solid food stage, your meal times may need a little more attention. My kids required being held and walked around. It was 30 minutes guaranteed. Some kids just gobble up everything in their path. You won't know until you have one.
All in all, it sounds like this is future planning. If you are wondering if it is possible to do this according to your plan - yeah it is. Will you be able to do it? Nobody here can say. That's one of those things that unravels the second you become a parent. Then every day is a new experience you never saw coming no matter how solid your plan was.
I agree with @anongoodnurse - it is too soon to tell, but don't fret about it.