WPF: Scroll Itemcontrol conteúdo cabeçalho fixo

É possível fazer algo assim com o ItemsControl do WPF:Demonstração

Eu estou tentando congelar o GroupedItems em vez das colunas GridView.

Recursos:

<Window.Resources>
        <CollectionViewSource x:Key="data" Source="{Binding}">
            <CollectionViewSource.GroupDescriptions>
                <PropertyGroupDescription PropertyName="Date"/>
            </CollectionViewSource.GroupDescriptions>
        </CollectionViewSource>
    </Window.Resources>

Exibição de lista:

<ListView Grid.Column="0" ItemsSource="{Binding Source={StaticResource data}}">
    <ListView.View>
        <GridView>
            <GridView.Columns>
                <GridViewColumn Header="Col 1" DisplayMemberBinding="{Binding Col1}" Width="100"/>
                <GridViewColumn Header="Col 2" DisplayMemberBinding="{Binding Col2}" Width="100"/>
                <GridViewColumn Header="Col 3" DisplayMemberBinding="{Binding Col3}" Width="100"/>
            </GridView.Columns>
        </GridView>
    </ListView.View>
    <ListView.GroupStyle>
        <GroupStyle>
            <GroupStyle.ContainerStyle>
                <Style TargetType="{x:Type GroupItem}">
                    <Setter Property="Template">
                        <Setter.Value>
                            <ControlTemplate TargetType="{x:Type GroupItem}">
                                        <Grid>
                                            <Grid.RowDefinitions>
                                                <RowDefinition  Height="Auto"/>
                                                <RowDefinition Height="Auto"/>
                                            </Grid.RowDefinitions>
                                            <Grid Grid.Row="0">
                                        <Grid.ColumnDefinitions>
                                            <ColumnDefinition Width="*"/>
                                        </Grid.ColumnDefinitions>
                                        <TextBlock Background="Beige" FontWeight="Bold" Text="{Binding Path=Name, StringFormat={}{0}}"/>
                                    </Grid>
                                    <DockPanel Grid.Row="1">
                                        <ItemsPresenter Grid.Row="2"></ItemsPresenter>
                                    </DockPanel>
                                        </Grid>
                            </ControlTemplate>
                        </Setter.Value>
                    </Setter>
                </Style>
            </GroupStyle.ContainerStyle>
        </GroupStyle>
    </ListView.GroupStyle>
</ListView>

CÓDIGO POR TRÁS:

public MainWindow()
        {
            InitializeComponent();

            List<String> colList1 = new List<string>(){"Item1", "Item2", "Item3", "Item4", "Item5", "Item6", "Item7"};
            List<String> colList2 = new List<string>(){"1", "2", "3", "4", "5", "6"};


            ObservableCollection<Data> dataCollection = new ObservableCollection<Data>();

            for (var a = 0; a<100; a++){
                Random rnd = new Random();
                int min = rnd.Next(5000);
                int rnd1 = rnd.Next(0, 6);
                int rnd2 = rnd.Next(0, 5);

                dataCollection .Add(
                    new Data(){
                    Date = DateTime.Now.AddMinutes(min).ToString("hh:MM tt"),
                    Col1= colList1[rnd2],
                    Col2= String.Format("Col2: {0}", "X"),
                    Col3= colList2[rnd2]
                    }
                );

            }
             this.DataContext = dataCollection;
          }

          public class Data
          {
            public string Date { get; set; }
            public string Col1{ get; set; }
            public string Col2{ get; set; }
            public string Col3{ get; set; }
          }

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