Can you have normal blood count (cbc) and lymphoma?

Yes, you can: When lymphoma is more localized on the lymph nodes -at earlier stage and does not involve bone marrow significantly - usually your CBC should be normal. When lymphoma infiltrates the bone marrow and occupies significant amount of the bone marrow then you will see supression of the normal blood counts on your cbc.

Yes: Lymphoma is a cancerous condition coming from lymphocytes, one type of white blood cells that protect your body from infection. Usually it arises from lymph glands or lymphoid tissues (tonsils, spleen etc) and rarely from non lymphoid tissue (bowels, thyroid). It would not cause change in blood count unless the bone marrow is involved and overwhelmed by the cancer cells which then will be stage iv.