You can, but I don't recommend it following a serious accident. The insurance adjuster is calling to get you to make statements (usually in a recorded call) about the events leading up to and including the accident. They will also ask you about your injuries and whether you went to a hospital or a doctor following the accident. They will ask how you're doing and if you missed work. She will be looking for ways to limit your claim based on your answers.
The inherent problem with talking to an adjuster following a serious accident is that they're probing and trying to make a record of your statement. They can then use it against you at a later time should you bring a lawsuit against the driver or owner of the other car involved in your accident
If an insurance adjuster calls to talk to you, tell them you'll be happy to speak to them, after you speak with your attorney. Or better yet order my free book "The Guide to Washington Injury Cases" by clicking here. The book will give you some good information before you speak with that nosy insurance adjuster.
If an insurance adjuster calls me after my accident to ask me questions, can I talk to her?
