It is possible for it to read negative. This usually happens after successful treatment of the disease and when the disease goes into a form of remission. While it is possible, it does not happen for everyone.
On the other hand, there are times when it reads negative, but the patient is still suffering from active symptoms. Lupus is a mind boggling disease because it never follows any set pattern and acts differently in each person.
It is important that you not only look at the results of your anti-dsDNA...you must look at the results of all of your lab work in order to get a better understanding of how your Lupus is affected by your treatment regime.
I hope that your Lupus does go into remission, that is what we all wish for with our treatment regimens. Best of Luck to you.
Peace and Blessings
Look For The Good and Praise It!