Yes. In fact, there are several life insurers now offering no health questions life insurance policies, which are also known as, Guaranteed-Issue life insurance plans.
Some of the leading providers of guaranteed policies include United of Omaha, Colonial Penn, and MetLife, among others.
Keep in mind, when applying for a guaranteed policy there are no health exams required, and you won't have to answer any questions about the status of your health. That means, you may get insured even if you have been denied coverage elsewhere, or if you have a pre-existing health condition.
Here's a list of life insurance companies with no health questions asked.