The control does not expose a HitTest method; the closest equivalent would be the UIElement.ElementFromPoint method. The following code sample demonstrates how to use that to determine whether the user clicked on an image:

private void ultraListView1_MouseDown(object sender, MouseEventArgs e)
{
    UltraListView listView = sender as UltraListView;
    bool a = this.HitTest( listView, typeof(UltraListViewImageUIElement), e.Location );
    bool stop = true;
}

private bool HitTest( UltraListView listView, Type elementType, Point point )
{
    if ( listView == null || elementType == null )
        return false;

    UIElement controlElement = listView.UIElement;
    UIElement elementAtPoint = controlElement != null ? controlElement.ElementFromPoint( point ) : null;

    while ( elementAtPoint != null )
    {
        if ( elementAtPoint.GetType() == elementType )
            return true;

        elementAtPoint = elementAtPoint.Parent;
    }

    return false;
}