Not out of the box, but when you create a customer, you may create a ticket from the link above. I create a phone ticket, which I've hacked the source (Kernel/Modules/AgentTicketPhone.pm) to not send an email (remove the AutoReply Key) upon creation. Then, I send a reply/response to that ticket, so it contains the customer information.
The ticket content is something like: Sample welcome ticket.
The content of the response (I've created a welcome Response and attached it to the queue) is something like:
--BEGIN--
This sample ticket is to provide your username (<OTRS_CUSTOMER_DATA_UserLogin>).
Feel free to send service requests via email to _____________
Please click the reset password link below to set a password.
--END--
The reset password link is actually in the Signature, which includes:
--BEGIN--
Login: <OTRS_CUSTOMER_DATA_UserLogin>
--END--
This does multiple positive things: It introduces to the user the ticketing system, presents the information, logs that it was sent, and enables you to create an entry without having to manage passwords, plus affirms to the user she can manage her password. In addition, you might close the ticket (Next State=closed successfully) after sending the reply or Pending AutoClose closed successfully after a day or so.