Pokémon Black Hardcore Nuzlocke - Banning Half the Pokédex! (No items, no overleveling)

Go to partner.bokksu... and use code (FLYGON) to get $15 off your first Bokksu order!
Can I beat Pokémon Black using Hardcore Nuzlocke Rules after banning half the Pokémon in the Pokédex?
Normal Nuzlocke Ruleset:
1. Fainting = Death
2. Can only catch the first eligible encounter per Route
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
Eligible Encounters: Zebstrika, Cofagrigus, Lilligant, Leavanny, Watchog, Throh, Liepard, Audino, Mandibuzz, Druddigon, Gothitelle, Emolga, Swoobat, Carracosta, Crustle, Garbodor, Escavalier, Alomomola, Stunfisk, Swanna, Maractus, Klinklang, Cryogonal, Heatmor, Cinccino, Basculin, Vanilluxe, Beartic, Bouffalant, Sawsbuck, Accelgor, Beheeyem
Link to Poll Results: docs.google.co...
Highlights Channel: / @flygonhghighlights
Join our Discord Server: / discord
Follow me on Twitter: / flygonhg
Follow me on Twitch: / flygonhg
#Pokemon #Gaming #Nuzlocke #PokemonBlack