Looks like you can
https://www.mazdaserviceinfo.com/electronic-service
And some dealers will sell you the manuals. Just have to ask around. I'd start with for the ones that sell parts online.
But many OEMs don't print manuals anymore. It's just electronic manuals now.
You can access the same data the shops can. It's may not be cheap but it available.
Since that seems to use PDFs, someone has probably saved the PDFs and you can find them if you look.
That's how I got my Jeep manual because I didn't want to buy access.
Or use a 3rd party site like ALLDATA. A lot of shops do.
Most offer daily/weekly/monthly access at reasonable costs.
Similarly there are multiple tools you can get at various prices for diagnosing problems.
The stuff independent shops use and authorized by the OEM.
Talking with a few shops they usually have 2 or 3 different options because each can do better at some things. Even the official OEM tools/and data can be wrong.