You can't use them on wood stoves from my understanding because of power failures. They don't even have them on large stokers or hand fired stokers for this reason. The smaller stokers have a relatively very small amount of coal burning so CO poisoning from gases backing up in your house is not an issue because the fire will go out very quickly. A wood fire is in the same boat as large stoker or hand fired coal stove, they will burn for many hours before extinguishing.
In addtion to that you have creosote build up, even the ones on the coal stokers need an excessive amount of maintenance and if you throw cresote into the equation...
I'm no expert on the matter but I think the answer to your question is a firm and emphatic NO. Even if you could I would question the sanity of a person that would do it.
Personally I wouldn't even use one on a coal stoker where its permitted. Other than the safety which I question the maintenance is a big turn off plus the cost that could be put towards a real chimney.