Can I file a lawsuit for my Mississippi construction accident?

It all depends, if the employer that you are working for was the cause of the accident or the injury then under Mississippi Law they are immune from lawsuit. What you would have there is a worker’s compensation claim. However, if on a construction site, a third party, or another company, caused your injury then yes, you many not only collect against your employer’s workers compensation insurance policy, but you can also collect against the third party that caused your injury.