The answer is no. The following lists the available format for displaying video output on the device:
Video formats supported:
H.264 video up to 1080p, 30 frames per second, High Profile level 4.1 with AAC-LC audio up to 160 Kbps, 48kHz, stereo audio in .m4v, .mp4, and .mov file formats
MPEG-4 video up to 2.5 Mbps, 640 by 480 pixels, 30 frames per second, Simple Profile with AAC-LC audio up to 160 Kbps per channel, 48kHz, stereo audio in .m4v, .mp4, and .mov file formats
Motion JPEG (M-JPEG) up to 35 Mbps, 1280 by 720 pixels, 30 frames per second, audio in ulaw, PCM stereo audio in .avi file format
So the maximum resolution is 1080p (1920 x 1080), there is no way to displayer higher, and certainly not native through the default media playing apps at least. 3rd party apps may well allow for this if they include a suitable codec, but I am not aware of any that do.