Can you have infection that does not show up in complete blood count?

Yes: An elevated white blood cell count is a marker for an infection, however an infection can occur in the body and someone can still have a normal blood count.

Yes: A complete blood count only measures your number and type of white blood cells and red blood cells and platelets. A high white blood cell count can indicate an infection of some kind, but can never be used to tell what type of infection someone has.

Sure: Most bacterial infections will have an increase in WBC number, and type (segmented cells, pmns); sometimes may have either not both. Some viral infections have increase in lymphocytes, even with a low WBC count. Docs treat people, not lab tests-those are only part of the picture.