Webb would be the best shot at it but in all likeliness, no. The Vietnam vets are getting old and a lot of them were turned off by politics coming home for obvious reasons so the ones that did get elected are few in number and don't have the name recognition of a John Kerry or a Jim Webb, for example.
I do think it has a lot to do with the persisting unpopularity of that war. The veterans aren't seen as war Heroes in the same way as WWII vets.
There are a few other factors.
A greater percentage of Americans served in World War II.
The public is ready to elect a woman.
Presidents have served full terms. The post-WWII Presidents Clinton, W and Obama all got reelected, and seem to have avoided truncated terms. As a result, there are less opportunities for others to get into the Whtie House.
