Eh, seeing your other post, I would say that it’s a hell of an ask because you aren’t giving details

But, based solely on what’s here, yeah, you can dislike a culture and still support its right to exist.

There’s a fuck ton of qualifiers though, and it varies heavily based on the details

What does that even mean? What does disliking a culture even entail?

Why would you want to just dislike an entire culture

What culture? I have feelings about cultures that limit education, but would not hold that against someone who was born into that culture.