I know you can do this if you’re creating the new row from a form. You can create a custom action based on the values set in the newly created row. I’ve created something similar when users create an appointment - a text message is sent along with a deep link to the appointment created.
Create an action to trigger after the form is submitted
You’ll want to create one action to capture the deep link
Then, you should create a webhook to send the information you want into Zapier (or any other connector - I personally use Integrately)
To test this, make sure you do it on a mobile device so that the deep link captured is the page itself. If you do it within Glide, you won’t get the deep link, but a link to the GDE.