Could having leukopenia lead to hodgkin disease or any other type of cancers?

YES: Leukopenia means low white cell count. It can be associated with various things, which can include: infection (eg., cold/ flu, typhoid, hiv, aids, malaria, tuberculosis, etc), aplastic anemia, cancer (eg, hogkin's lymphoma, leukemia, myelofibrosis, etc.), metabolic deficiencies (eg, copper, zinc and folate (folic acid) deficiencies), or treatment-related (eg, chemotherapy, radiation therapy, etc).

Leukopenia is not: The cause of cancer, but it can be a sign that something is wrong in the body. For some, leukopenia is a sign of cancer, but for others, it is a sign of some autoimmune disease. Some develop leukopenia because it's a side effect of a medication that they're taking. Others just have lower white blood cell counts normally and never see or feel any bad effects from this.