Can a man marry one woman in India and Another in United states?

If the man is a US citizen, yes, by all means. An American woman can marry any guy she wants to in the United States, regardless of how long he has been in the country or his citizenship status (at least as long as he's here legally). In an age of increasing paranoia about gay-marriage, the American government actually encourages an American woman to marry a man. Of course, anyone wanting to marry should check with their local government offices for the marriage license and any other requirements.