No, you should not talk to the other driver's insurance adjuster, at least until you have discussed your case with an attorney. The other person's insurer adjsuter will likely contact you seeking a recorded statement. Remember, the adjuster's job is to resolve your case by paying as little money as possible. That is much easier with people who have not discussed their case with a lawyer. If you give a statement, you may inadvertently say something that could damage your case. Contact an experienced personal injury lawyer to discuss your accident and your options before talking to any insurance adjuster.