I need to know if there is a cure for chronic myeloid leukemia (cml)?

Yes : CML used to be bad, 50% dead in 5 years. Today treatment with tyrosine kinase inhibitors results in 95% of patients being alive 5 years after diagnosis. So far, treatment with tkis does not seem to permanently eliminate the leukemia, requiring continued rx. A smaller proportion of patients who fail tki rx can get transplants and be truly cured, but at the risk of complications. See a good hem/onc!