Yes, Push Notifications are available on the iPod touch with a Wi-Fi connection.

Note: For iPods touch running iOS versions prior to 4.0, when the iPod touch screen is on and has a Wi-Fi connection, Push Notifications are received at any time; however, if the iPod touch screen is asleep, it will check every 15 minutes for a notification.

Note: Push Notifications are available exclusively for users. Learn more about Pro features