Are multiple array_aggs going to be in the same order?

If I do a SELECT with a GROUP_BY and multiple ARRAY_AGGs, will the ARRAY_AGGs be guaranteed to have entries in the same (ie corresponding) order?

eg

SELECT
u.name,
ARRAY_AGG(o.order_date) AS order_dates,
ARRAY_AGG(o.order_total) AS order_totals
FROM
user u JOIN
orders o USING (user_id)
GROUP BY
u.user_id