No. There’s no way to like or dislike a genre.
Definitely log some feedback with Apple on that: Product Feedback - Apple
For now, maybe add Jesse & Joy, Ha*Ash, Sandoval, #TocoParaVos, Carman Maria, or such, and dislike those you don’t, and the recommendations will (should) sort themselves. (Si, escucho música en español.)
Based on what I’ve noticed with Apple Music, the initial selection of genres (mentioned in another reply) seeds the initial music recommendations.
Once seeded, the music recommendations are then derived from what you’re looking at and what you’re playing, on your playlists, and on what you’ve marked as liked 👍🏽 and disliked 👎🏽, and by what you’ve added to your library.
Again, based on supposition, there’d be no reason to change the initial seed, as that seed is seemingly only used for the early suggestions, and not once some data from your playing history and your feedback is available.
In a way, this recommendation processing is analogous spam filtering, deriving what mail is legitimate and what mail is spam; deriving what music you like and what you don’t. We all get to train the playback to our local preferences, just as our mail traffic is unique. Which means we get to 👍🏽 and 👎🏽.