Pokémon White 2 x Pokémon Go Hardcore Nuzlocke (No items, No overleveling)

Can I beat Pokémon White 2 using Hardcore Nuzlocke Rules if my encounters are determined by Pokémon Go? Normal Nuzlocke Ruleset: 1. Fainting = Death 2. Can only catch the first Pokémon in Pokémon Go from each new city (Species clause applies). 3. Nickname Pokémon Hardcore Nuzlocke Ruleset: 4. No items in battle (held items okay) 5. No leveling past the next gym leader/E4 (at the START of the battle) 6. Play on "Set" battle mode Highlights Channel:    / @flygonhghighlights   Join our Discord Server:   / discord   Follow me on Twitter:   / flygonhg   Follow me on Twitch:   / flygonhg   #Pokemon #Gaming #Nuzlocke #pokemongo #pokemonwhite2