Can the Joker block Superman's X-Ray vision? And then what is going to stop Superman from blitzing him at the speed of light while also using heat vision with pinpoint accuracy? Basically it comes down to whether Joker can both secure some kryptonite and a successful plan to use it all within a month. Without that there seems to be no chance for the Joker.
I doubt that in a month Joker could even get the goods to set up a mystical barrier such as is described here. I mean he's no Dr. Doom...