Could leukocytosis cause viral and bacterial infections?

The other way around: Leukocytosis is an abnormally high number of white blood cells in the blood, as measured on a blood test. Both viral and bacterial infections can sometimes cause high numbers of white blood cells (wbc's) or low numbers of wbc's (leukopenia). Unusual leukocytosis, not caused by an infection, can be due to a bone marrow problem such as an early stage of leukemia. A doctor can further evaluate.

Not a cause: A leukocytosis can be caused by a viral or bacterial infection. It does not cause either.