H1B transfer while RFE on amendment in India

[kushal49]

I traveled to India for a vacation and went for my interview for H1b Stamping. Due to having a travelling job, the 221(g) asked for my employer to refile my H1b with a LCA with all the addresses at the job sites I will be working at as a commissioning engineer. My company has filed a new application but I got an RFE which they then replied to. 

In the meantime, another company has interviewed me and is willing to transfer my H1B. Is it possible for me to transfer my H1B, and if my RFE gets rejected before my transfer request is submitted, will that mean that the H1B employment cycle is broken and transfer would not be possible?