It looks like the complete soundtrack to Pokémon: Let’s Go will be getting an official release, but only in Japan. According to Nintendo Wire, the “Super Music Complete” collection will be released on December 1st, which will include all of the music from both versions of the game, and include a luxury booklet full of pictures and other content. However, it appears there are no plans to release the game in any other region at the moment.
The Nintendo Switch version of the game that’s coming to the west is due out on November 16th, so it is entirely possible we’ll see the game’s soundtrack come out later after the game has been out for a minute and has a chance to grow in popularity. Considering how obsessed people currently are with Pokémon: Let’s Go, that shouldn’t be an issue.