Yes, you can. Most life insurance companies offer life insurance to smokers, but rates are typically much higher. Some companies offer better rates for smokers than others, while some even offer an incentive to quit smoking, offering lower rates for a period of time while the insured works on kicking the habit.
Life insurance policies also may have contingencies for those that are considered “high risk”, including individuals with a family history of heart disease or cancer, or with an existing medical condition. Many policies require a medical exam as well to determine your insurability. If you qualify for coverage, rates could be significantly higher.
Overall, smokers and those with high-risk health factors will pay higher premiums, but coverage is available at most major life insurance companies.