Yes, it can, hypothetically, just like any other trust. However, we have never heard of the really good ones having been sued. There is an understanding of natural law arising and reawakening on the planet. It may have its local applications in regional statutes, common law, and the UCC, but its central domicile is in the universal natural law.
As a result, we are aware of no good quality Natural Law Trust that has ever been sued. One of the reasons is that the trust officers keep most of its documents private, and never give copies of most of the trust to any agency or institution. It is not a public trust and it is not registered anywhere. Therefore, if a would-be attacker wants to sue it, how is it going to make the suit intelligent? It won’t have enough information about the trust’s officers and activities to structure the suit intelligently. While this may not guarantee that the trust will never be sued, it does vastly reduce the likelihood of it. And it further reduces the likelihood that any such suit, if it were initiated, would be successful for the attacker.