internal class Point
{
    private int x;
    private int y;
    public Point(int x, int y)
    {
        this.x = x;
        this.y = y;
    }
    public int X { get; set; }
    public int Y { get; set; }

    public override string ToString()
    {
        return $"{x}, {y}";
    }
}

internal static class PointManager
{
    public static Point Point => new Point(0,0);
}

public partial class MainWindow : Window
{
    public MainWindow()
    {
        InitializeComponent();
    }

    private void Window_KeyDown(object sender, KeyEventArgs e)
    {
        PointManager.Point.X = 1;
        //как сделать, чтобы на экране отобразилось 1,0
    }
}

<Border Grid.Column="2" BorderBrush="Black" BorderThickness="1" CornerRadius="10" Margin="3" Padding="10" Background="SandyBrown">
         <Label HorizontalAlignment="Center" VerticalAlignment="Center">
                <Binding Source="{x:Static local:PointManager.Point}"  />
         </Label>
   </Border>