Yes. You can choose to have multiple autoresponders subscribed to all new clients. When you edit or create an autoresponder in COMMUNICATE > Autoresponders > Edit on any Autoresponder > tick the check mark on “Subscribe all new clients to this autoresponder”.
Anytime you switch someone in your list to active client, you will be presented with the option to subscribe them to the autoresponders that has this option checked. You can also subscribe someone manually to a particular autoresponder series by going to their Profile (in CONTACTS > Contact Name > Profile tab > Autoresponders (click on “View all”), switch on the “subscribe” button and click on save on the bottom.