Can the Ipad run Photoshop CS6

No, Photoshop CS6 is designed for Windows and Mac OS X operating systems, the iPad runs iOS. Adobe have a basic photo editing app in the store (Adobe Photoshop Express) and there are other similar apps, but you won't find anything as powerful as CS6.

No. Try going to the app store and search for photoshop, you may get something that might help, but you will not get fully fledged Photoshop CS6 app.

Try Photoshop Touch, it's more powerful than Photoshop Express

https://itunes.apple.com/sg/app/adobe-photoshop-touch/id495716481?mt=8

Photoshop Touch

http://i1224.photobucket.com/albums/ee374/Diavonex/Album%207/0fec09db8a4da4a2be8 879378289cbe6.jpg