No. To send the email from Publisher you must use Outlook or Outlook
Express. And if you didn't have your Hotmail account set up to allow access
prior to September 2004, then you can't.
Per
http://support.microsoft.com/default.aspx?scid=kb;[LN];878462
"MSN Hotmail no longer supports Distributed Authoring and Versioning (DAV)
for free user accounts. Outlook Express uses the DAV interface to connect to
Hotmail. Only paid Hotmail accounts will work correctly with Outlook
Express. If you configured Outlook Express or Outlook to access your Hotmail
account before DAV support was ended, you may still be able to use Outlook
Express to open a free Hotmail account. However, eventually Hotmail will no
longer support DAV for all free Hotmail accounts."
If you have a Hotmail Plus account ($19.95/yr) or MSN Premium account
($99.95/yr), you can use Outlook Express to access your mail. It's up to you
to decide whether it's worth $20 a year to do what you want. FWIW, I believe
you can get Gmail to work within Outlook Express but you'd have to change
email addresses.