Yes. A large number of life policies are ‘term assurance’ policies, of which there are many different kinds. These are:
Level term assurance: the premiums you pay and the amount of cover you have remain constant throughout the term of the policy.
Decreasing term assurance: the amount of cover decreases over the term of the policy, although you continue to pay the same premiums. This type of policy could be used to pay off a debt that decreases over a period of time, for example, a repayment mortgage. It could also be used to cover a potential inheritance tax liability.
Renewable term assurance: life assurance that pays out if you die within the period of protection, but which gives you the option to renew the cover at the end of the term without having to provide evidence of health (as long as you are not older than a certain age, e.g. 65). Although the premiums are likely to be higher, the life office will not be able to refuse you the new insurance.