Yes, you can, via your survey platform. I have tried this using Qualtrics. Basically, you just use the emailing system provided on your survey platform as normal to send these automated emails/messages. However, instead of putting normal emails as recipients’ addresses, you should replace this information with the Prolific email addresses the participants provide in the form of firstname.lastname@example.org. Make sure to set up some conditions to trigger the email automation (e.g., who should get the message and when).
One thing to keep in mind is that the message you send from your survey platform to Prolific email addresses should only contain plain text. Other types such as a hyperlink will cause some formatting inconsistencies.
If this way doesn’t work for you, you could always try to send messages manually and directly on Prolific following the guide here Sending messages to participants – Prolific.
You can try to create a Prolific account as a participant. You will then have a Prolific ID and email address. Use these data for your automated emails to test if this works