Can I import Pokémon from my Let's Go team into Pokémon Home without the original game?

I recently discovered the existence of Pokémon Home, which (among other features) allows to migrate Pokémon from Let’s Go Eevee/Pikachu to Sword/Shield.

Therefore, via this app, I have been able to easily export my favorite Pokémon from the old Let’s Go Eevee savegame in my Switch, except the 6 ones in my team.

Unfortunately, I sold my Let’s Go Eevee cartridge a few months ago after clearing the game, so I cannot reload my savegame, swap my team with dull Pokémon and save to unlock them.

Is there any way to bypass/solve this without the game, or am I forced to get (again) a copy of Let’s Go Eevee?