I know someone who had a baby during her 3rd year which is the intensest.
It is definitely possible, especially if you have a strong support network. You'll have to have a lot of dedication though, and you'll have to accept the fact that you aren't going to do as good as you normally would have. A lot of mothers suffer from sleep deprivation, which is bad enough for a normal student, let alone a mother who has the massive and time consuming responsibility of raising a little one.
But then, many mothers have full time jobs as well as having a child, yes they are older and have a lot more money (presumably) and can take maternity leave, but you've got the great advantage of living with a supportive family (presumably) which will help a lot.
Just remember to give the baby the time and attention it needs, I know of a young mother who had a baby at 18 (she's now 3) and she only worked part time, but they baby literally went no where, she still doesn't go hardly anywhere. She didn't go to play school, she does not know how to socialise with other little ones. I just feel like she's not being made the most of! So you'll have to ask yourself whether your child will have the best, most enjoyable start in life as possible.
And finally, congratulations!!