Yes maam absolutely you can give even if it is engorged no problem at all for the baby. But so that it does not get engorged and cause pain to you I would advice every second feed you try giving on left side breast ,or atleast express the milk and can keep it aside in a clean airtight container and give as and when  required during the day using a spoon or paladay. Expressed breast milk can be stored at room temperature for 6 hours.