No. You should never give a statement without your lawyer present. Insurance adjusters are trained to ask the same questions over and over in slightly different ways, trying to get the injured person to make a mistake or give them some sort of inconsisitency - one they will try to use to deny or delay your workers compensation claim and benefits, including medical treatment and monetary benefits.
Remember, the insurance company doesn't work for you - it works for its shareholders. Insurance adjusters are trained (and its their job) to deny workers compensation claims, and pay less in benefits and medical treatment. A recorded statement just gives them one more tool to deny payment for legitimate injuries.