Is it possible for a paralyzed woman to get pregnant and give birth?

Yes: Generally speaking, yes, very much so. Whether or not it is safe for the woman to do so is a different matter and depends upon the nature of her paralysis and what kind of support will be available during the pregnancy and delivery. Pregnancy planning for someone without feeling or movement below the waist should be done in consultation with an experienced obstetrician (OB/GYN).