yes but in a different manner.
Right now their "trophy" is miivere in that you can actually post your accomplishment on miiverse via a screenshot and some words/pic.
What they should do is expand miiverse to have the more normalized trophy/achievements you see in other consoles. Where your profile in miiverse automatically gets updated with some sort of nintendo centric badge or something.
For 3rd parties, it would be identical to other systems. For Nintendo stuff it could be 100% unique of course and could really make your profile something to admire.
Seems to me the back-end is essentially there and hopefully something Nintendo has already planned but yet to implement.







