No, this is not natively built into Airtable. Airtable only provides the URL preview extension, but it only supports a tiny handful of websites, and it’s an extension so it can only show you one record at a time.
To effectively do what you want to do, you would need to use an external 3rd-party screenshot API service. A few screenshot API services are listed below, but I’m sure there are others as well.
Then, to automate the entire procedure, you would either need to:
Right, good distinction. Airtable’s extension will load a “live version” of the site. Otherwise, using the other methods, you will only get a static version of how the website looks when you run your automation.