Can a wireless mouse be used with the new IPAD?

No, mice are not supported

While it is true that mice or other pointing device like track pads are not supported on the iPad since there is no real pointer, I use a stylus pen. I know it would probably tip over the iPad if you are standing it up, but it's the closest I've seen. I use the Wacom Bamboo stylus and a Zagg keyboard and the case for the iPad and keyboard. I use the stylus a lot on the Paper app to take notes in meetings and such. Not really a solution but if you are trying to move an insertion point in a document, it does work.