Not really. “Latinx/Latin(x)/LatinX”, in both English and Spanish (though it seems to be used less in Spanish, even by people who use it in English [0]) is usually, perhaps exclusively, used as an adjective, not a noun.
[0] e.g., I’ve see groups use things like “Soy Yo Latino / I Am LatinX”.
If it is indeed used only as an adjective, it would make sense to see it very rarely in Spanish, as Spanish already dictates which gender to use for an adjective - if you want to say 'a latinx movie' in English to avoid using Latino/Latina, that makes some sense; but in Spanish, 'una pelicula latino' would never make sense, so why use 'latinx' instead of the normal agreement 'latina'?
Not quite on the level of an American college newspaper I saw in the 1990s that identified Winnie Mandela as an African-American speaker when she was making an appearance, but the same kind of process.
For example, in Romanian (a Romance language), the scientific words for 'penis' and 'vagina' are both neuter (which in Romanian means that they use masculine form for the singular, and feminine form for the plural). Conversely, the vulgar words for these are both feminine. The word for 'breast/breasts' is masculine.
Basically only words that specifically refer to people and mammals&birds are guaranteed to have a meaningful relationship between grammatical gender and male/female sex. Even here it is not entirely guaranteed, as the words for 'child' and 'baby' are both masculine, even though they are used for both male and female (or intersex) babies and children - though there are of course specific words for 'boy' and 'girl' and those do have the expected gender.
On the other hand, what is clear is that gendered languages with two genders have a huge problem with the idea of gender-neutral language, as it is simply impossible to refer to someone without implying a gender. For example, if I had a non-binary colleague and I wanted to say that they are smart, I have to choose between calling them 'deștept' (masculine) or 'deșteaptă' (feminine) - there is simply no other form of the word to use. Even if I were to artificially introduce a plural like with 'they/them' in English, I would have to choose between 'deștepți' (masculine) or 'deștepte' (feminine) - there is no getting away from this.