Of course it's possible, you just need to be super organised and strict. if you clean regularly, you don't need more than a couple of hours a day.
If you have other children, you will find time to cook, clean, do laundry, iron, do school run, shop, give them a bath, help with homework, play with them. There's no reason why you can't find the same time with a baby.
It's harder to put your first one down because you feel guilty if they cry.
With toddlers, you start to have toys everywhere, but that's all, and whilst they are playing you clean something else.
I have seen a few mums with babies who didn't want to clean the house, but had time to do their nails, put make-up on, watch tv, meet for coffee. It's a matter of priorities.