Yes. I find it, that in Danish, I would often say "Er der andre muligheder?" rather than "Er der nogle andre muligheder" (both are still correct ways to say it). But in English, I would say "Are there any other options?", rather than "Are there other options", which is why I think, that adding "any" to the sentence doesn't make it less correct, since it still has the same meaning and it is a common way to make use of the sentence.