It is possible, but the emails would have to first go into a queue, because there would be a lot of outgoing emails in a very short period of time, unlike the notification emails that are related to individual transactions.
I will have to review existing email queue plugin for WordPress first.
You don’t need to look for anything. I simply need to review existing email queue plugins to see which ones can be compatible. It should not matter what the capabilities of the server are, the email queues can be configured on how fast to send emails.