No, imported clients are only added as prospects and also included in the group(s) you choose during import. They don't receive any communications automatically. You can subscribe them manually to the communications you want them to receive:
- Either individually (in CONTACTS TAB > CONTACT NAME > "Profile" tab > "Autoresponders" section > check the box in front of the autoresponder(s) you want to subscribe then to,
- or multiple contacts at once, by using the advanced "Search contacts" tool (in CONTACTS TAB > "Tools" section > select "Search contacts" > apply filters to generate the list of contacts > continue to the next screen to apply the action of subscribing them to an Autoresponder). A video tutorial about applying mass actions via the "Search contacts" tool.
Also, make sure in advance that the respective imported contacts expressed their previous agreement to receive communications from you (they subscribed via other Opt-In forms outside the Console before you imported them into your Console Clients list). Or you can send them an email from the Console after import, with a link to an Opt-In Form page where they can express their agreement to receive communications from you (and here you can make use of the consent checkboxes in the Opt-In Form to help the contacts express agreement for receiving your various types of communications).