Hi SSB, You certainly can have a reconstructed nipple. There are many techniques described from nipple sharing to local flaps and grafts to even implants and tattooing. It depends on your other nipple and what is suitable for you- discuss this with your plastic surgeon. Often I defer the nipple reconstruction until after I have reconstructed the breast mound so as not to put it in the wrong spot. Best wishes.
Yes absolutely you can get a nipple reconstruction. It is a routine part of breast reconstruction. Ask your plastic surgeon.