Ground Mounts have been confirmed for Wildstar. The only specific mount that has been shown is the Hoverbike. However, Jeremy Gaffney has also announced that Wildstar will include a variety of living (animals) and mechanical Mounts.
The hover bike was shown March 14, 2012 by Loic "Atreid" Claveau on the official Wildstar website. It is a ground mount that resembles a motorcycle. It is currently unknown how the hover bike will be obtained in-game.
This hover bike was also featured in the game's cinematic trailer airing November 22, 2011.
Confirmed during in a hidden puzzle in the disclaimer of the Re-introducing the Warrior class video. Players found a hidden video showing a few seconds of the hover board in game. Additionally during the Warrior live stream on 9 November, 2013 the showed some live footage of the hover board. One thing that remains unclear is related to speed, the hidden video showed a very fast board while the on in the livestream was considerably slower. Obviously more than 1 board will exist but it is unknown if the speed shown in the hidden video is the correct speed.
Flying mounts were confirmed for the game June 25, 2012 by Jeremy Gaffney. He notes that the world has been built with flight in mind and will provide a wide variety of flying mounts. He hints that mounts may have some abilities attached to them. To this point, no specific flying mounts have been announced.