Can I recover damages for malpractice from a professional corporation?
Generally, yes. The corporation itself would be liable and, depending on your state's law, some or all of its professionals may be personally liable for their malpractice. In many states the professional who provides services remains liable for his/her acts - the corporation does not shield him from responsibility his own professional malpractice.
Many states also require professional corporations to post a bond or maintain liability insurance protection for any of its (or its professionals') malpractice, errors and omissions.