Yes, they can? An HOA is added to the deed agreement. A typical HOA will be allowed to put a lien on the house if you do not pay them the agreed upon fee, and -- crucially -- whatever other fees they determine. Thus, if an HOA wants to kick you out for any reason, they mostly just have to continue to fine you until you can no longer pay, at which point they ask a judge, and take the house.
In california for example, an HOA just has to get you to have $1800 in unpaid fines before they can simply evict you and sell the house to recuperate the costs.
