H1B transfer from Company A to B in progress now company A to C possible?

I am working for Company A. I have job offer from company B and H1B transfer is in progress with PP.

Now, I got another job offer from company C, so is it possible to file H1B transfer for company C while H1B transfer to company B is still in progress? I am still employee of company A and have not resigned yet…

Thank you.