Possible, but you'll need to use torrents, DDL sites, or usenet. rutracker.org has lots of switch roms, and 1337x.to have some as well.
For shitty ddl options, we've got nsw2u.com and nxbrew, but you need to make sure you have uBlock Origin and FastForward extensions. JDownloader2 can also help, since you can grab the shortlinks to the rom files, plug them into JD2, and JD2 will automatically grab the file and bypass the redirects.
You could grab nszs/nsps at the above locations and then use DBI MTP to install the nsp directly to your switch from a PC.
See here for a guide: https://rentry.org/NSUSBInstall/#dbi-installer-mtp
If you can donate a missing dump to get access to Pro Shops, you will also get access to Neko Drive, which is another great source of games, served directly from Google Drive, no Tinfoil shops or blawar software needed.