You can sue someone for anything you want, but without more information, it sounds like your lawsuit would lack merit, and I'm not sure why you would want to.
Your insurance broker's job is to connect you to an insurance company that gives you the best coverage or the best value. In terms of processing claims in the event of an accident, he or she can help you know who to speak to, but even there the broker's role will be limited. They are not responsible in any way for "reporting accidents" to anyone.
To sue someone, that person has to have wronged you in some way or broken a law or neglected their legal obligations... Unless you are more specific, none of those seems possible in this scenario.
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