Yes, this is possible. Certain genetic mutations, mainly BRCA1 and BRCA2, can run in families and raise the risk of prostate cancer in men and breast or ovarian cancer in their daughters or sisters. A hereditary prostate cancer, especially one diagnosed at a younger age, is one of the patterns that raises suspicion for this kind of link.
Next Steps
Ask your father's oncologist whether genetic testing was done or recommended for him. If a mutation is confirmed or suspected, a genetic counsellor or gynaecologist can arrange testing for you and build a personalised screening plan, such as earlier or more frequent mammograms.
Health Tips
Having a family history doesn't mean you will develop cancer. It only means your risk may be higher than average. Please discuss this with a gynaecologist or genetic counsellor for a proper risk assessment.