Is there a way to add shipping information in the table at MyAccount > Orders?
Yes, & of course.

Our first step is to filter these columns and add our new column in the location we’d like.
/**
* Adds a new column to the "My Orders" table in the account.
*
* @param string[] $columns the columns in the orders table
* @return string[] updated columns
*/
function th_wc_add_my_account_orders_column( $columns ) {
$new_columns = array();
foreach ( $columns as $key => $name ) {
$new_columns[ $key ] = $name;
// add ship-to after order status column
if ( 'order-status' === $key ) {
$new_columns['new-data'] = __( 'New Data', 'textdomain' );
}
}
return $new_columns;
}
add_filter( 'woocommerce_my_account_my_orders_columns', 'th_wc_add_my_account_orders_column' );

Now we need to add some data for this column that will appear in every row. We can use `woocommerce_my_account_my_orders_column_
/**
* Adds data to the custom "new-data" column in "My Account > Orders".
*
* @param \WC_Order $order the order object for the row
*/
function th_wc_my_orders_new_data_column( $order ) {
$new_data = get_post_meta( $order->get_id(), 'new_data', true ); // Get custom order meta
echo ! empty( $new_data ) ? $new_data : '–';
}
add_action( 'woocommerce_my_account_my_orders_column_new-data', 'th_wc_my_orders_new_data_column' );

Done! The complete code snippet is given below. Add this snippet in your child theme’s functions.php file or in your custom plugin file and do the modification as per your data & requirements.
/**
* Adds a new column to the "My Orders" table in the account.
*
* @param string[] $columns the columns in the orders table
* @return string[] updated columns
*/
function th_wc_add_my_account_orders_column( $columns ) {
$new_columns = array();
foreach ( $columns as $key => $name ) {
$new_columns[ $key ] = $name;
// add ship-to after order status column
if ( 'order-status' === $key ) {
$new_columns['new-data'] = __( 'New Data', 'textdomain' );
}
}
return $new_columns;
}
add_filter( 'woocommerce_my_account_my_orders_columns', 'th_wc_add_my_account_orders_column' );
/**
* Adds data to the custom "new-data" column in "My Account > Orders".
*
* @param \WC_Order $order the order object for the row
*/
function th_wc_my_orders_new_data_column( $order ) {
$new_data = get_post_meta( $order->get_id(), 'new_data', true ); // Get custom order meta
echo ! empty( $new_data ) ? $new_data : '–';
}
add_action( 'woocommerce_my_account_my_orders_column_new-data', 'th_wc_my_orders_new_data_column' );