Only with approval of the Board.
Otherwise, if they do make a site, they need to put plainly visible disclaimers that the site is not the official site of the Association. In my opinion, this disclaimer should be on each and every page of the site. Additionally, if such a site is created, the owner of the site should be aware of potential liability issues associated with defamation (i.e.
libel).
Not knowing if you are a member of the Board, the owner of such a website or simply a concerned neighbor, I will offer the following from my experience:
I published an unauthorized newsletter for three years. During that time, I attended as many Board meetings as I could, read and learned the proper interpretation of our Governing documents and applicable State laws. When writing the newsletter, I let zero emotion into any of the articles. I stuck with the facts, provided references for the basis of those facts (so they could be independently verified) and basically let the facts speak for themselves. Even though I would question and criticized the actions of the Board I never signaled out a single individual. In fact, I would often praise them for stepping up and volunteering to serve on the Board. In essence, I used the newsletter to educate the membership. It took three years before I even saw the slightest change in the membership or the Board. It took even longer for actual changes to occur. However, they did occur.
If you're the owner of the site, know that it will be a long term process (I chose the newsletter as this put something physical in the hands of the members). Be willing to step up and pitch in running the Association where you can and will be allowed to do so (as this shows you're not just complaining but are willing to do the work necessary to make the changes you think should happen).
If your a member of the Board - don't simply dismiss the issue. Yes, take steps so others don't think the site is the official site of the Association (typically a simple demand letter from the attorney is enough to have that occur). However, listen to the concerns and review the governing documents and applicable laws. If the issue is valid, work to correct it. If the issue is invalid or caused by a misinterpretation of the governing documents/laws, then start educating. Even though I has an issue with the Board, I was always welcomed to the Board meetings and listened to. You need to do the same.
If your a concerned member, explain these issues to both parties. Then take the additional time needed to verify what you are trusting. What you verify will likely provide an indication of your next course of action.
Hope this helps,
Tim