Add custom row to welcoming in dashboard

Yes it’s quite possible, there’s a filter hook in place so we can add our own links in, adjust the following code as necessary..

add_filter( 'admin_user_info_links', 'custom_admin_user_info_links' );

function custom_admin_user_info_links( $links ) {
    $links[] = '<a href="http://www.google.com">Example link</a>';
    //$links[] = '<a href="http://wordpress.stackexchange.com">Another example</a>';
    return $links;
}

Hope that helps.