Maybe
pokemon.com says
The Desolate Land Ability, which only Primal Groudon has, changes the weather condition to extremely harsh sunlight. It is not possible to change the weather condition during extremely harsh sunlight (leaving aside the efforts of an exceedingly small number of Pokémon).
Features of the extremely harsh sunlight condition:
・Grants the same effects to Pokémon and their moves as the harsh sunlight brought about by the Drought Ability
・The moves Rain Dance, Sunny Day, Sandstorm, and Hail will fail
・The Abilities Drizzle, Drought, Sand Stream, and Snow Warning will fail to activate
・Water-type attacks will become ineffective
Normally, the Abilities Drizzle, Drought, Sand Stream, and Snow Warning all last for five turns after being activated, regardless of whether the Pokémon is still in battle or not, and then the weather returns to normal.
Desolate Land’s weather effects, however, will last as long as Primal Groudon remains in battle. As soon as it is swapped out for another Pokémon, the weather immediately returns to normal.
it doesn't say that clond nine won't stop it. but it forget's to list it. I would assume no, because it says on Pokemon,
Desolate Land’s weather effects, however, will last as long as Primal Groudon remains in battle
so No?