yes. but cleaner shrimp are alot more efficient than fire. best if keep them in a group so that they wont hide so much.
but for ich problems, the best way is to pick the fishes up to a quarantine tank for copper treatment. the shrimps wont help much for ich
of course, there are medications for ich that are reef-safe.
try garlic addictives like Garlic Guard or Garlic xtreme. They helps abit.
try Marine-Max. Maintain water quality too.
and you can get alot of these shrimps from Marine Life Hobbielist. They have big ones there NOW. (check more details of this LFS in the sponsers list)
cheers