Salespeople, regardless of what they are selling, can be annoying at times. You are free to deal with them in any way you like, but using a little tact is generally better than just telling them to bug off. Where insurance is concerned, you do have some legal rights regarding insurance agents and how they treat you, put in place especially to protect consumers against pushy sales people and unscrupulous insurance companies.
In the opening stages, you could try telling the person that your insurance needs are already taken care of. You do not have to provide them with any policy or insurance company details, just tell the person that do not need their services at this time, that you have decided against the policy they sell, or even that you do not wish to do business with the company that salesperson represents.
If the salesperson refuses to leave you alone, insists that you must buy a policy you do not need or want, or harasses in you in any way, you have two options. The first is to contact the insurance company and report the salesperson. Explain why you are upset and what you would like to do to settle the situation, such as being removed from contact lists at the insurance company. If you are not able to solve the problem by calling the insurance company, your next step is to call the Department of Insurance.
The Department of Insurance is the place to get insurance company problems resolved. If you have a complaint about a salesman or insurance company, you can file it with your state's Department of insurance. You will need to know the insurance company involved, the name of the person you having a problem with, and any other information related to your complaint, but the department will investigate the case and either take action or advice you of how the case can be resolved.