Does cpwebhosting, has any method, where we can view our mails apart from outlook express. As sometimes, we are out of station, and if we want to check our mails we can’t set the outlook express of that cyber cafe’s computer.

Yes, cpwebhosting, do provide the webmail client Horde, which you can use, by visiting either mail.cpwebhosting.net or mail.yourdomainname.com/org/net hosted with cpwebhosting.