It depends on what your health condition is, and the life insurance company guidelines for acceptance.
There are life insurance carriers willing to insure people who have health issues such as diabetes, obesity, high cholesterol, etc.
However, the approval requirements vary by insurance carrier.
And, if you have severe health problems, such as, heart problems or emphysema, you may find it difficult to get approved for life insurance.
But, if you are unable to find life insurance due to your health issues, you may want to consider a guaranteed issue life insurance plan. These policies offer a limited amount of life insurance and usually have graded death benefits the first 2-3 years you are insured.