Could general dentist remove impacted wisdom teeth?

Yes: Many general dentists remove wisdom teeth for their patients in their offices, and do a good job. There are obviously alot of general dentists who do not perform any extractions and refer all of their extractions and wisdom teeth patients to oral and maxillofacial surgeons who may be able to provide more options for sedation or general anesthesia.

That depends: That depends on how experienced the general dentist is and how difficult your wisdom teeth will be. A qualified general dentist can perform simple wisdom tooth extractions with no problem. Impacted and/or infected wisdom teeth should be extracted by an oral surgeon to minimize the chance of complications, as they have more extensive training.

Yes, but: Yes, but why wouldn't you want to see someone with much more experience? For best results, see a board certified oral & maxillofacial surgeon for exam/recommendations/treatment.