Is Drizzle Kit/Drizzle Studio possible with RDS Data API?

I'm able to create the RDSDataClient for querying my DB using Drizzle ORM, but I don't see a way to use Drizzle Kit for DB inspection/push or Drizzle Studio for data exploration. The drizzle.config.ts seems to only make it possible to use the DB connection URI/params.

Is there a way to still have these interactions with my RDS db if I'm using the Data API?
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