No. The pain and suffering you experience leave you neither the time nor energy to take on aggressive insurance adjusters, let alone massive companies with extensive experience denying and combatting claims. Adjusters are too experienced at what they do to handle alone. Referring them to your attorney informs them that you are serious about securing compensation.
Any efforts to settle your case alone is time taken away from your much-needed rest. When it comes to insurance company negotiations, it is best to seek help from a lawyer familiar with the process.