If Pokemon GO didn't end up fulfilling your dreams of roaming the land and taming wild pokemon, perhaps you might find your fortune in Ark: Survival Evolved's Pokemon Evolved mod. Even though its currently in alpha it features around 30 pokemon which you can battle and potentially tame, including some fan favorites such as: Charizard, Mewtwo, Blaziken, Alakhazam, and Squirtle.
To begin your career as a pokemon tamer all you'll need to do is head over to the Steam Workshop and download the mod. Its around 700MB in size, so do bear that in mind if you're on any sort of tight data cap. And also make sure to back up your save file before installing complex mods such as this one, just in case something goes terribly wrong.
As a final note, I would urge you to download the Pokemon Evolved mod as soon as possible because its currently being threatened by a DMCA claim. In other words, if Valve finds that its breaking copyright (which it obviously is) there is a high chance the mod will simply disappear from the Workshop. So if you want pokemon roaming around in your Ark world I would suggest erring on the side of caution and downloading the mod as soon as possible. Enjoy!