Yes, such automated emails are referred to as Autoresponders.
Interspire Email Marketer allows unlimited autoresponders that can be setup to send
emails after a user signs up to the newsletter and a period of time has
Interspire Email Marketer currently works with a delay based on hours after your contact joins your contact list. You can make this into days simply by adding together the hours. That is 24 hours is one day, 72 hours is 3 days and so on.
To do this, simply click on the Autoresponders tab in the control panel. Here you will be presented with the option of managing your existing autoresponders as well as creating a new one. Clicking "Create Autoresponder" will prompt you with an easy to follow step by step wizard in creating your autoresponder.
If you already have imported users into a contact list, you can send them autoresponder emails too! When editing your autoresponder, check the box labeled "Send to existing contacts?". Email Marketer will do a one-time check for any existing users who meet the time interval requirements you have set, and queue them to receive the autoresponder also. This option will not save, so next time you edit that particular autoresponder, it will be unchecked, enabling you to do it again.
For you to be able to use autoresponders and scheduled sending you will need to have set up Cron
on your server.