Yea course you will. Wait until the six week clear, but it’s not a problem. Other girls have had theirs done beforehand and kept them in (I took mine out, I wasn’t that keen on them really), and just used a plastic retainer.
Having no boobs shouldn’t have stopped a nipple piercing, piercers see everything and anything when it comes to boobs (or even genitals) and of its something you want, go for it
I had mine done since I was 16, took them out at 18 while pregnant then straight back in after breast feeding (even tough I hated them, it have people a reason to look at my chest!) xx