No, because the silver has been developed by the first developer, reversal has been done, and the dyes constructed in the color developer. The processing steps can all be done in room light including and following the reversal. Light reversal works fine for me so I process E-6 in room light after the first stop bath and a short wash. If you go through the second developer, stop, and wash then you can dry the film for later testing. At this point the film contains the negative (silver) image and the developed reversed (silver) image that contains the dye positive image. The halides have all been processed and the dyes have been constructed.
After re-wetting and bleaching you will be converting all the silver back to halide. The fixer will remove all silver leaving you with the positive dye image. As PE noted, you should use a stop following the color developer as well as after the first developer. These stop baths must be separate from each other, i.e. don't use a common stop for both steps. Stop baths used for color processing should contain a small amount of sulfite as well, usually included as 1-2% bisulfite.