No, currently it's not even available to trans men. (My brother is a trans MSM in the greater NYC area, and looked into it.) This is very much being treated as a "cis gay men's disease."
As noted above, there is a reason why we knew of it more among MSM. It isn't that it's a "gay disease," or an STI/STD, and gay men are not universally more promiscuous than cishet men. (All incorrect things I've heard today.) Cishet men sleep around just as much OR MORE than cis gay men -- this is extremely well-studied. (Not that it matters, sleeping with lots of people isn't wrong or shameful. Just talking actual factual.)
So why are we seeing many more diagnoses among gay men, and why did our diagnoses largely start there?
Well. That one's actually really fucking easy to explain. Gay men, especially cis gay men over a certain age -- culturally speaking -- tend to be much more AWARE of any changes to their skin, or any sores or bumps or lumps on their skin, and much more likely to go get health care when they notice changes to their skin.
Why? Well, specifically because of the AIDS crisis. Kaposi's Sarcoma (if you Google it, the images can be distressing, use caution) is a condition which was often the first indication of AIDS in men who otherwise considered themselves to be healthy, or of seroconversion in men who knew they had HIV and who later developed AIDS. Kaposi's Sarcoma causes bruises and/or sores on the skin. So we have a culture among many cis gay men in the US, especially among older cis gay men, of being VERY AWARE of changes to their skin, and of being quick to go and get health care when they see those changes. Yes, they tend to have better relationships with their health care providers in general, but there's a specific vigilance around the specific symptoms of monkeypox which has nothing to do with monkeypox itself.
Someone post that picture of the "planes that got shot and survived". :p