In the United States, life insurance companies are never legally required to provide coverage to everyone, with the exception of Civil Rights Act compliance requirements. Insurance companies alone determine insurability, and some people are deemed uninsurable. The policy can be declined or rated (increasing the premium amount to compensate for the higher risk), and the amount of the premium will be proportional to the face value of the policy.
There are also a few different ways your claim will be settled depending on your policy. Actual Cash Value will reimburse you for the replacement cost minus any depreciation. Because the cost can vary so much over time when it comes to property, this kind of policy could mean the limit on your coverage ends up coming in significantly below the cost to repair or even rebuild your home.