Yes you can. But if your other H1 has expired or if you are working for comapny B from Nov 2002 then there is a risk. What if after you change to C, employer B decides to withdraw the H1 transfer. Then from Nov 13 to the date of approval of company C, your status will become illegal.
Best way to handle this is to make the current transfer as premium processing and after approval file for company C h1 transfer from company B.