No. In court your single member LLC is going to be treated as being effectively you.
The proper answer is, consult the precedent of prior cases in your state, that will tell you how strong the LLC holds up in any particular jurisdiction. A lawyer in your area will also know this better than a lawyer in other areas. It’s not a one-size-fits-all answer, and in general the LLC typically holds up well. Regardless of the number of members.