Can a corrupted game damage a graphic card?

More likelly that the 8800GTS death throes were what caused the game to appear corrupted.

Your post doesnt really give us enough information on exactly what type of death your graphics card suffered. Has driver corruption \ windows issues been ruled out, are you getting a corrupted picture of no picture at all etc etc. Is it just instability running normal programs? Have you tried the card in another PC or another card in this pc etc etc.

The game itself would be exceptionally unlikely to damage a graphics card, except from running for a long time at excessively high settings overworking the graphics card to the point where heat kills it. I had some fun with an 8800GTX running crysis like that. 2048x1536 With everything maxed >1 fps and the card overheated badly and threw a wobbly although it still works fine after cooling down.

That exact beep pattern can point to a terminal video card death on some bios's.

Components do just die sometimes. Not necesarily due to either age or useage. Just like any component. I see it a lot at work where I get identical components in batchs, and some die a lot sooner than others even though they are identical. Its unfortunate that this one died relatively young.

But I wouldnt expect it to be a game that caused it.

Theres only two ways that I can think off for that to happen one is extended over heating and the other is malicious code deliberately writing to the GPU's Bios. Ive not heard of any such code, but it would be one of the few ways software could "kill" a card.

i installed Crysis Warload few days back after playing it for about 5 minutes my monitor display went off..... actually the game was downloaded from torrent and i suppose it was corrupted.... after a while i came to know my graphic card 9800GT is DEAD..... no display on monitor but the motherboard and all the other hardwares were working fine...
and its true... corrupted games can damage ur hardware....