This is not 100% solution but you can play with the properties by using the Colour functions within QlikView and assigning them with the Alpha value. I mean you can give Red(0) or any other colour for ScrollButtons and ScrollBackground properties. Setting Alpha value to 0 is same as reducing the opacity. This makes the scrollbars invisible although they are present.
I'm attaching a screenshot for your reference. I hope this helps!
Cheers - DV