Pokémon Ultra Moon Hardcore Nuzlocke - STARTERS Only! (No items, No overleveling)

Can I beat a Pokemon Hardcore Nuzlocke challenge in Ultra Sun and Ultra Moon using only Starters?
Nuzlocke rules:
Fainted Pokemon must be permanently boxed
Only the first encounter on any given route may be caught (dupes clause)
All pokemon must be nicknamed
Hardcore Rules:
Always Set mode
No items from the bag option in battle (held items are ok)
No overleveling the next gym leader
#pokemon #nuzlocke #challenge