No, the highest possible resolution with Dual Link DVI
@ 60Hz is 2560x1600.
It is technically possible, however, to run a dual link display at WQUXGA
3840x2400 @ 33Hz.
Currently, there are no WQUXGA monitors in production.
There are a very few monitors that support 2560x2048 and 3200x2048 resolutions.
They are generally used in the medical field and, likely, cost more than you make in several months.
As any monitor over 2560x1600 runs at lower than 60Hz, it would be unsuitable for gaming.
As the screens framerate is directly linked to the frequency of the signal, at 3840x2400 you would have a maximum displayable framerate of 33 FPS.