Yes. Just dig around inside Outlook. I assume you have 2 profiles, one for "Real Work EMail" and one for "Home EMail while @ Work". Go into this 2nd profile and you will find a tab to configure the servers that you use. Leave the server for retrieving email (POP3) so it still points to your "@ Home" ISP. But change your outgoing (typ. SMTP) server to point to your SMTP server at work. You may have to fiddle with authorisation settings, etc. Often, you will just get prompted to log into the SMTPserver, using your NT (I assume) domain user name and password.
Some explanation: Your ISP, like most ISPs will let you pick up email from anywhere/any network, but will only accept outgoing messages from a systemn directly connected to their network. It is believed that this will help slow down a lot of SPAM. It's important for ISPs so their resources aren't being used/wasted by somebidy "outside", and also to limit their legal liability.