There are Three Types of Alerts:
There are
alerts written into studies. They alert for all charts / grids currently populating your app whether they are minimized or not.
They cannot be sent to phone/email. They cannot have custom sounds.
https://usethinkscript.com/resources/how-to-add-alert-script-to-thinkorswim-indicators.9/
https://tlc.thinkorswim.com/center/howToTos/thinkManual/MarketWatch/Alerts/studyalerts
There are
alerts created on a chart for
one specific stock that you want to alert
Right-click on your chart and choose alerts.
There are
scanned watchlist alerts which alert whenever the results of the scan changes.
These alerts can be 3min delayed. They can have
custom sounds, they can be sent to phone/email, if you have notifications turned on in the app setup.
https://tlc.thinkorswim.com/center/howToTos/thinkManual/Scan/Stock-Hacker#:~:text=Scan results are,scan results change…
Commonly Asked Questions about Alerts:
https://tlc.thinkorswim.com/center/howToTos/thinkManual/MarketWatch/Alerts
In answer to your question, No.
The ToS platform does not provide SMS texts for alerts written into scripts.