The following question was asked and answered on the Washington State Office of the Insurance Commissioner Mike Kreidler’s website:
Q: I was turned down for life insurance due to my health. Does this mean I can’t get life insurance at all?
A: Not necessarily. Different life insurers have different underwriting standards, so another company might insure someone with your health condition.
So try a different company, or try going through a broker, who might know more about which companies might be the best match for your individual situation.
Also, it’s a good idea to check with your employer. Some employers offer some life insurance coverage (say $25,000 or $50,000) to their employees without requiring employees to answer health questions.