No. In order to purchase a term life insurance policy you must qualify for coverage based on your age, health, and other personal risk factors.
However, there are "Guaranteed Issue" permanent life insurance policies available for people who meet the age requirements - for example, those between the ages of 45 to 85.
Guaranteed policies offer a limited amount of coverage, usually up to $25,000 - and the have graded benefits, which means you have limited death benefits the first 2 years you are insured.
However, guaranteed life insurance comes with no exams and no health questions asked.