Not natively , there a couple flow-integrations that can.
With the flow http-send-request action you could call a webhook or connect to an api that provides sms messaging, such as the twilio service.
Some lowcode/nocode services that a store may already be using like ifttt, zapier have sms features as well
https://zapier.com/apps/sms/integrations
A bit more advanced usemechanic app, integrates with flow, has an example of sending an sms via nexmo(vonage) and working with flow
https://tasks.mechanic.dev/send-an-sms-via-nexmo-when-a-product-is-created