No! I repeat......No! I just had anemia when I was diagnosed. Two months later I fractured two vertabrae doing NOTHING (osteoporosis which is a complication from CD). So, even though you may not be experiencing gut problems now (symptoms tend to wax and wane) you will be doing damage and not all of it may be visible. Besides, are you interested in setting off another autoimmune disorder?
Stick to the diet is my advice. It is the only "cure" for celiac disease.