H1B Transfer without Stamping

I worked for Company A in India and they Filed H1B for me. Its approved. I have both soft copy of approved H1B petition and Hard copy. i left from the Company A and joined company B. Stamping is not yet done, so not entered in US yet.
Can I apply H1B from Company B in India they are ready to transfer H1B.

Yes you can. Please read this blog info http://redbus2us.com/h1b-transfer-without-traveling-to-us-in-india-no-approval-notice-experience/