Is it possible to have fibromyalgia without tender points?

I have so many symptoms of it, it really started about 2 months later after having a flu like illness. I've had a CBC done, my sed rate checked, urine samples, stool samples, mri's, ct scans, an HIV test (negative), electrolytes, thyroid, and a panel for celiac disease. Everything has come back normal. Onetime my WBC count was a little elevated (10.9), I had a fatty tissue in my head, but it had disappeared later and my celaic AGA levels were a little high, not too much. But I heard AGA tests aren't even that reliable because they're wrong a lot of the time. I had the HIV test done 7 months after getting cut at a manicurist's and 3 months after one of my friend's drank out of my soda can's. I'm very paranoid about catching stuff. I even had an ANA screen done (antinuclear antibodies) to check for any presence of autoimmune diseases. I did get diagnosed with ehlers danlos syndrome (clical type) and I heard people with EDS can also develop FMS. So, is it possible to have fibromyalgia