No
I mean unless you want to get banned, no « normal online » for any game really, if you have a game you don't own installed (or even a forwarder or something, I'm not too sure but I wouldn't try it)
https://www.lan-play.com doesn't seem to work on my end but it's the place. There's also xlink kai which I prefer but there's nobody, I used it to play with friends and it worked flawlessly
What people mean by « local mode » is that there's a way to have your console using the LAN mode or the wireless mode to actually play through the internet on a 3rd party server. When a game has LAN, you can even use it on an unmodded console (which is neat if you want to play with friends who didn't mod), wireless is CFW only because it requires running a sysmodule to trick the wireless-part into actually connecting through the server you want. You need a PC to do all that stuff tho, but it works.
Pretty hard to explain without lan-play working, idk if it's permanent or not. If you can access the website you'll have all you need, info about how it works, how to setup, what games it works on etc.
https://discord.gg/599vWBxP
This is a link to the Discord server Switch Lan Play, if the website still doesn't work you may be able to get all you need there