HOA disputes can often be very petty, from someone complaining about a wind chime to someone else complaining about a home gym. The HOA rules, regulations, bylaws, cc&rs, etc. will determine what process needs to be followed. People can generally say whatever they want about you. Whether that will support a lawsuit depends on what is being said and whether you suffered any injury from it. Petty HOA disputes often do not support defamation claims.
Consult a lawyer in person to see if your situation might.