Yes, it is possible to have Lupus with a negative ANA. Yes, it is possible to have Lupus without a malar rash.
Lupus is diagnosed by having
4 of 11 of the lupus symptoms. Many doctors rely primary on blood work, but that isn't the best diagnostic fit, as a +ANA can mean any of several autoimmune diseases. A good rheumatologist takes ALL the symptoms into consideration when making a diagnosis.
Hope that helps,