No, not without parental consent anyways. I was that age not too long ago and we definitely do stupid shit. I don't think one lip or nose ring is too out of hand but they need someone to tell them when to stop, or tell them no. If you can prove you can be responsible with other things, then I don't see why you can't be trusted to make decisions with your body. Otherwise, you're just being an impulsive trend following teenager.
I suppose it wouldn't matter anyways, there's ways around getting them done with consent. Most of my piercings were done myself, or by my "friends" which I'd be more worried about.
Whatever, kids that age just need to put more thought into it, I used to be a pin cushion and I have the facial scars to prove my stupidity.