If you just want to override the Background when the pointer is over, you can just override this resource.
<Page.Resources>
<SolidColorBrush x:Key="AccentButtonBackgroundPointerOver" Color="Bisque" />
</Page.Resources>
<Button Style="{StaticResource AccentButtonStyle}" />
If you want to do more complex behaviors, you'll need to bring the entire style and modify the PointerOver VisualState:
<Page.Resources>
<Style x:Key="CustomAccentButtonStyle" TargetType="Button" BasedOn="{StaticResource AccentButtonStyle}">
<!--
<Setter Property="Foreground" Value="{ThemeResource AccentButtonForeground}" />
<Setter Property="Background" Value="{ThemeResource AccentButtonBackground}" />
<Setter Property="BackgroundSizing" Value="OuterBorderEdge" />
<Setter Property="BorderBrush" Value="{ThemeResource AccentButtonBorderBrush}" />
<Setter Property="CornerRadius" Value="{ThemeResource ControlCornerRadius}" />
-->
<Setter Property="Template">
<Setter.Value>
<ControlTemplate TargetType="Button">
<ContentPresenter x:Name="ContentPresenter" Background="{TemplateBinding Background}" BackgroundSizing="{TemplateBinding BackgroundSizing}" Foreground="{TemplateBinding Foreground}" BorderBrush="{TemplateBinding BorderBrush}" BorderThickness="{TemplateBinding BorderThickness}" Content="{TemplateBinding Content}" ContentTemplate="{TemplateBinding ContentTemplate}" ContentTransitions="{TemplateBinding ContentTransitions}" CornerRadius="{TemplateBinding CornerRadius}" Padding="{TemplateBinding Padding}" HorizontalContentAlignment="{TemplateBinding HorizontalContentAlignment}" VerticalContentAlignment="{TemplateBinding VerticalContentAlignment}" AutomationProperties.AccessibilityView="Raw">
<ContentPresenter.BackgroundTransition>
<BrushTransition Duration="0:0:0.083" />
</ContentPresenter.BackgroundTransition>
<VisualStateManager.VisualStateGroups>
<VisualStateGroup x:Name="CommonStates">
<VisualState x:Name="Normal" />
<VisualState x:Name="PointerOver">
<!-- HERE! -->
<Storyboard>
<ObjectAnimationUsingKeyFrames Storyboard.TargetName="ContentPresenter" Storyboard.TargetProperty="Background">
<DiscreteObjectKeyFrame KeyTime="0" Value="{ThemeResource AccentButtonBackgroundPointerOver}" />
</ObjectAnimationUsingKeyFrames>
<ObjectAnimationUsingKeyFrames Storyboard.TargetName="ContentPresenter" Storyboard.TargetProperty="BorderBrush">
<DiscreteObjectKeyFrame KeyTime="0" Value="{ThemeResource AccentButtonBorderBrushPointerOver}" />
</ObjectAnimationUsingKeyFrames>
<ObjectAnimationUsingKeyFrames Storyboard.TargetName="ContentPresenter" Storyboard.TargetProperty="Foreground">
<DiscreteObjectKeyFrame KeyTime="0" Value="{ThemeResource AccentButtonForegroundPointerOver}" />
</ObjectAnimationUsingKeyFrames>
</Storyboard>
</VisualState>
<VisualState x:Name="Pressed">
<Storyboard>
<ObjectAnimationUsingKeyFrames Storyboard.TargetName="ContentPresenter" Storyboard.TargetProperty="Background">
<DiscreteObjectKeyFrame KeyTime="0" Value="{ThemeResource AccentButtonBackgroundPressed}" />
</ObjectAnimationUsingKeyFrames>
<ObjectAnimationUsingKeyFrames Storyboard.TargetName="ContentPresenter" Storyboard.TargetProperty="BorderBrush">
<DiscreteObjectKeyFrame KeyTime="0" Value="{ThemeResource AccentButtonBorderBrushPressed}" />
</ObjectAnimationUsingKeyFrames>
<ObjectAnimationUsingKeyFrames Storyboard.TargetName="ContentPresenter" Storyboard.TargetProperty="Foreground">
<DiscreteObjectKeyFrame KeyTime="0" Value="{ThemeResource AccentButtonForegroundPressed}" />
</ObjectAnimationUsingKeyFrames>
</Storyboard>
</VisualState>
<VisualState x:Name="Disabled">
<Storyboard>
<ObjectAnimationUsingKeyFrames Storyboard.TargetName="ContentPresenter" Storyboard.TargetProperty="Background">
<DiscreteObjectKeyFrame KeyTime="0" Value="{ThemeResource AccentButtonBackgroundDisabled}" />
</ObjectAnimationUsingKeyFrames>
<ObjectAnimationUsingKeyFrames Storyboard.TargetName="ContentPresenter" Storyboard.TargetProperty="BorderBrush">
<DiscreteObjectKeyFrame KeyTime="0" Value="{ThemeResource AccentButtonBorderBrushDisabled}" />
</ObjectAnimationUsingKeyFrames>
<ObjectAnimationUsingKeyFrames Storyboard.TargetName="ContentPresenter" Storyboard.TargetProperty="Foreground">
<DiscreteObjectKeyFrame KeyTime="0" Value="{ThemeResource AccentButtonForegroundDisabled}" />
</ObjectAnimationUsingKeyFrames>
</Storyboard>
</VisualState>
</VisualStateGroup>
</VisualStateManager.VisualStateGroups>
</ContentPresenter>
</ControlTemplate>
</Setter.Value>
</Setter>
</Style>
</Page.Resources>
<Button Style="{StaticResource CustomAccentButtonStyle}" />
You might learn more about these resources in this post.