Pokémon Scarlet Hardcore Nuzlocke - SHINY Pokémon Only! (No items, No overleveling)

Can I beat a Pokemon Hardcore Nuzlocke challenge in Scarlet and Violet using only Shiny Pokemon? 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 Custom Rules No setup moves No terastalizing #pokemon #nuzlocke #shinypokemon