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 H1B Transfer without traveling to US in India, No Approval Notice – Experience - RedBus2US