Although you left out the proper visa 'letter' I will assume you are talking about H-1B and H-4 visa classifications.
Yes, not only is it possible for your future employer to get an approval for H-1B while you are in India, it is preferable, from a US government standpoint.
One thing to keep in mind, you won't be allowed into the US before September 20, 2013.
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In either scenario your presence here is not required. H1B is sought by an employer and b1 you cannot get inside the US anyway, you need to do it at the consulate.
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If you want to change status, you have to do so in the US.
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H-1B employer can petition while you are here in the U.S. or seek consular process if you are abroad.
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