What does the work involve? If a lot of it is reading and essay writing or answering questions etc then I'd imagine that you will be able to fit in an hour or two around the baby once you have settled in together and recovered physically/emotionally from becoming a new mum. You could do work whilst the baby sleeps or is watched by a friend/family member who can bring the baby to you when the baby needs fed.
It really depends on the hours that you need to put into it, what the work entails, how much help you can get with baby and whether you'll be able to concentrate on the work.
What were you hoping to do? I assume that you wanted to put things on hold for 6 months to a year and pick it up again, is this really not an option?
I think (unless the work is difficult to do in chunks of time that you can do flexibly around your baby) that it is doable for a certain number of hours a week that'll depend on your circumstances. Its whether those hours are enough to complete the work - i.e. might not be doable if you are working on it full time at the moment.
Of course, its working out your priorities too, if you really want to concentrate on being a new mum for the next 7 months, then don't feel bad about that. Just work out the practical implications of picking up the course at a later date or having to start over.
Is there a reason why they would need to come to you? Is there work you need to demonstrate to them in person, or for them to teach in person, or do they just mean that they'll drop round course notes every now and again (if the latter you could maybe arrange for them to be posted, for you to collect them, or to get them electronically). If its to discuss your progress then maybe phone/email contact or you going in to them once a month/fortnight/at the end of a module.
Apologies if some of my suggestions wouldn't suit the type of course you are doing, I realise that there could be practical elements etc that might be difficult for you to continue. Don't decide not to breastfeed over this, you may well find you can do both or that you'd rather focus on your baby. See how it goes first.