Yes, go into the Presets tab, select that preset. Now, check the Edit Local Buttons box. Right-click on the virtual LT display in the window and select Copy From Page, and select the page number that you want to alter. Now, while still in the Presets tab, edit the button that you want to disable. Set its type to None.
Also, make sure that "Auto Page Select" is turned on in Global settings. In each preset, "Show Page" needs to be set to the page you'd like the LT to display. That will allow the normal page to be displayed for most presets, but have the modified (no fuzz) page displayed for other presets.