Cleaner wrasse can be kept in systems with numerous large fish. They are not likely to do well in the majority of cases in small tanks without large fish. However the mortality rate on importation is also quite high alone.
Note that there is at least one "mimic" that is very difficult to distinguish and is not a cleaner (in fact it takes bites off fish) and would, I presume, be much easier to keep.
But many will not be sustained on a basic diet - eg mysis - alone, long term. Many specialized feeders develop problems long term as that diversity is not provided in captivity.
Also please consider the ecological impact of removing this fish from the reef. Not only do most not do well, but it is a service easily provided by neon gobies and several types of shrimp. These are fascinating animals with highly specialized roles on the reef and I do not encourage their capture for this hobby...and definitely not if you can't ensure that you can provide numerous large fish.