Is it possible to block subscriber users to changing its password?

You can try

if( current_user_can( 'subscriber' ) ) {
    add_filter( 'show_password_fields', '__return_false' );
}

see also
http://wpengineer.com/2285/disable-password-fields-for-non-admins/

http://adambrown.info/p/wp_hooks/hook/show_password_fields

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