emptylistbox.xaml

<Window x:Class="WpfApplication16.MainWindow"
        xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
        xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
        Title="MainWindow" Height="350" Width="525">
    
    <Window.Resources>
        <Style TargetType="ListBox" x:Key="ListStyle" BasedOn="{StaticResource {x:Type ListBox}}">
            <Style.Triggers>
                <DataTrigger Binding="{Binding RelativeSource={x:Static RelativeSource.Self}, Path=Items.Count}" Value="0">
                    <Setter Property="Template">
                        <Setter.Value>
                            <ControlTemplate>
                                <TextBlock>No items to display</TextBlock>
                            </ControlTemplate>
                        </Setter.Value>
                    </Setter>
                </DataTrigger>
            </Style.Triggers>
        </Style>

        <ControlTemplate x:Key="NoScroll">
            <ItemsPresenter />
        </ControlTemplate>

    </Window.Resources>
    
    <Grid>
        <ListBox Style="{StaticResource ListStyle}" Template="{StaticResource NoScroll}">
            
        </ListBox>
    </Grid>
</Window>