Can I update Safari on my iPad.

Yes - and no. Please read on...

Safari is an integral element of iOS/iPadOS - and cannot be updated independently of the OS. If your iPad has been updated to the most recent version supported by your iPad, then Safari is as up-to-date as is possible.

However, some websites incorrectly identify your iPadOS Safari User Agent when used in one or other of its browsing modes - and incorrectly report that Safari is out of date. Safari has two modes of operation - these being Desktop and Mobile.

It’s easy to switch between modes if a website isn’t functioning correctly. From the desired web-page, touch the aA icon at the left of the Address Bar; this will reveal a menu. From the menu select Website Settings, then select (or deselect) Request Desktop Website, then tap Done. Now refresh the webpage.

The chosen setting will be saved for the selected website - and can be simply reversed if needed.

If you have your iPad on an older version of iOS or iPadOS, and are able to update to a newer version, try that. Changes to Safari are introduced through OS updates, rather than updating the individual app.