Yes. If your homemade redscale roll is just standard 35mm colour negative film that has been reversed so light passes through the base first, it can still be processed as normal C-41. The redscale effect comes from how the film was loaded/exposed, not from requiring a different chemistry.

One practical point: if possible, rewind or orient the film so it is the correct way round for handling before sending it to the lab. But the processing itself is still standard C-41.