Can having a wisdom tooth extracted cause an unhealed hole in the jaw like a cavitation?

Not usually.: In a healthy individual, the gum will first heal and then the underlying bone will fill in. If a large amount of bone was removed during the procedure due to a cyst or tumor, then the healing time will be greatly increased. Major exceptions to this include immuno-compromised people or those with a history of bisphosphonate medications used in breast cancer patients and osteoporotic patients.

Not Really: When a tooth is removed, the remaining socket (where the roots were) will fill with a blood clot, just like any other wound anywhere else in the body. Over time, this blood clot will change to new bone, which will fill in the hole. It may not fill in completely, but you won't end up with a hole there after normal healing. In many cases, it's helpful to add some bone right after the tooth removal.

Un healed: Osteomyelitis should be considered if tissue is not healing and/or there is constant pain, swelling, infection, numbness after two weeks or so.