Can my addiction cause health problems

Likely. I don't know what you are addicted to, each substance does have unique properties and affect the body in different ways, ex alcohol can affect the liver more than cocaine. But any addiction has adverse effects on the mind, body and spirit. Rehabs don't discriminate based on substance yet people don't enter them well.
Yes. . Addictions affect physical, emotional and mental health. Consider attending the relevant twelve step fellowship such as alcoholics anonymous.