Why yes. Even if human rights, by nature, are universal, and anything surrounding sex is not universally agreed upon and thus rather poorly addressed by human rights, sex by itself is clearly a human right.https://www.un.org/en/universal-declara ... an-rights/
It can be concluded from article 12 (privacy and home), which covers a lot of other basic operations of life as well (like the right for access to a bathroom for your basic body operations), and also from article 16 (marriage).
Thus you indirectly definitely have the right for sex with yourself, aka masturbation, under human rights, as well as sex with another person if said person gives consent, simply because you're not allowed to be monitored in your own home, and you're not violating any human right of the other person.
However, there is no human right of having sex with any other person without consent. Such an act is called rape and rape violates pretty much all the most basic human rights of the victim, as defined in article 1 to 5.
Rape, as an act of violence to a person, violates article 1, specifically the "brotherhood" (i.e. solidarity) of all mankind.
Rape, being an act of violence, also most likely endangers life and health of a person, which violates article 3, the right for life and security of person.
Rape, being an act of degredation of a person, violates article 1 (human dignity) as well as article 5 (no inhuman or degredading treatment of people).
Rape, being an act of disregard of a persons right in favor of another persons interests, and act of deprivation of liberty, and an act of temporary ownership of a person by another person, violates article 2, 3 and 4.
Rape of a woman by a man also potentially endangers her to become pregnant, with has further repercussions, which are, due to the universal nature of human rights, not universally agreed upon and thus not properly addressed by human rights. It could for example be seen as another case of violation of security of person, if one would agree upon that changes to your body cannot be done to do without your consent, excluding cases when it serves your health and wellbeing and you're unable to give or refuse consent (such as after a serious accident).
I also cannot see any basis for a general right to have a sexual partner. How would such a right even be constructed ? You dont have the right to sex with any specific person, so how could you possibly have the right for having a person that has sex with you ?
For example the general human right for private ownership of things doesnt mean you are guaranteed the ownership of a car, either. And cars are even things, not people, so in that case you can conclude that realistically, since human rights guarantees you a decent enough income, you will sooner or later be able to afford a car if you want one, at least if you live in a country with at least a modest level of industrialization.
No such luck with people, for unlike things you cannot own and thus also not buy them, since that would be slavery.
Thus, if you cannot find somebody who gives consent, you are out of luck. You wont have a sexpartner.
There's class warfare, all right, but it's my class, the rich class, that's making war, and we're winning. - Warren Buffett