Can you put a crown on a broken wisdom tooth?

It is certainly possible to put a crown on a wisdom tooth. If there is enough solid tooth structure and the tooth is in an appropriate position, it shouldn’t be a problem.

You can put a crown on a wisdom tooth provided there is enough tooth to support a crown and enough space in your mouth for the dentist to place a crown. Usually, I recommend wisdom teeth be removed rather than restored. There is the rare instance where the wisdom tooth is easily accessible and easy to fix, in which case I will restore it if the patient wants.

Yes it is possible. I would see a dentist to see if there is enough tooth, and if there is a tooth opposing it. You may not want to save the tooth.