This is what RIM said a little while back:
"Text Messaging is now supported with BlackBerry Bridge. When Bridged you can read, send and receive text messages on your BlackBerry PlayBook tablet.
When Bridged, and connected to WiFi, the BlackBerry PlayBook automatically sends and receives data over the WiFi network to decrease cellular data usage, and increase performance."
BlackBerry PlayBook OS 2.1 change log leaks
This is what the change log says now:
"BlackBerry Bridge will now support viewing SMS messages on the PlayBook"
I do hope it is a complete product and not another "still coming" item.
Tim