Yes, if you're sick, and have a health condition, you may still be able to get insured for life insurance.
There are high risk policies available for people with pre-existing health issues; such as, COPD, emphysema, cancer, or other chronic conditions.
These plans are usually referred to as "Guaranteed-Issue" policies and offer guaranteed approval for anyone who meets the age requirements.
Ages for acceptance will vary by carrier, but some insurers offer guaranteed approval for people ages 45-75, 40-80, or 45-85.
Since these plans accept everyone, they offer a limited amount of insurance, usually up to $25,000 - but you may be able to purchase a policy from more than one life insurance company.
Learn more about life insurance for sick people and how to get insured.