Without an app I've not heard of yet, no. Your BB does not log-in to check your e-mail. Your messages are routed through your server and BIS simultaneously, and e-mails are automatically routed,'pushed', to your BB.
You can create a profile to use to control the sounds/vibe, so as not to be alerted at inconvenient times, if that helps.
Posted from my CrackBerry at wapforums.crackberry.com