You can't disable the History system but you can hide the Undo and Redo links that it displays within the tw-sidebar element, and the Basic Harlowe Passage Tag Based Styling thread in the old Forums Archive contains all the information and some of the components needed to achieve this.
1. Using Javascript within a Passage to assign a known CSS class to an HTML element.
The following assigns a no-navigation CSS class to the main tw-story element of the story, you would use it in the first passage of the set of passages you don't want the History navigation links be available in.
You will also need to use it within the last passage of that set to handle the situation where the Reader uses the Undo link to rewind History back to that last passage.
<script>$('tw-story').addClass('no-navigation')</script>
2. Using Javascript within a Passage to remove a known CSS class from an HTML element.
The following removes the no-navigation CSS class from the main tw-story element of the story, you would use it in the first passage of your story where you want the History navigation links to be available again.
<script>$('tw-story').removeClass('no-navigation')</script>
3. Using CSS based on the no-navigation CSS class to hide the contents of the tw-sidebar element.
Place the following within your story's Story Stylesheet area.
tw-story.no-navigation tw-sidebar {
display: none;
}