No, the statement is unture and unfounded because good health cannot be fundamentally based on the aspect of heredity and good luck. There are several instances where individuals get sick due to poor health lifestyles or even stress. Such cases of illnesses cannot be blamed on heredity or luck; hence the statement is refutable.
I do not believe that simply because one of my family members is diagnosed with high blood pressure will mean that I will automatically get the disease through heredity. Apparently, a person's lifestyle may determine whether or not one will develop ailments such as diabetes or high blood pressure.
However, there are certain cases where illness is heredity but can be avoided through embracing practices that enhance one's health or prevent the disease from occurring. Such practices include exercising, going for a regular medical checkups, and maintaining a healthy lifestyle can help stop diseases from happening. Perhaps, I believe that a person's lifestyle will act as a risk factor predisposing them to diseases or their lifestyle can prevent them from developing an illness.
You can't change your genetics, but you definitely can change your lifestyle. Your genetic susceptibilities were formed at the time of your conception. In the longer run, apart from your genetics, multiple other things influence your health and thereby result in the manifestation of hereditary diseases.
Therefore, a hereditary disease can be avoided through the adoption of different healthy lifestyle practices. Also, good health cannot be a matter of good luck since everybody can develop an illness if they are careless about how to undertake a healthy lifestyle.