While an LLC structure provides some protection to businesses when it comes to such claims, there is also such a thing as 'piercing the corporate veil.' In this instance, if the plaintiff can provide evidence that the LLC and business owner were inseparable, then the business owner can be held personally liable, leaving his personal assets open to seizure.
Because of this, even if your business is set up as an LLC, having that extra layer of protection in place can be fundamental to keeping your business on the right track and progressively growing, even in the face of claims.