The short answer to the question is "NO". Let us be very clear about what Jesus is discussing. Matt 19:12 lists three types of eunuchs:
- Eunuchs that were "born that way" - presumably with some kind of genetic defect that prevents them procreating
- Eunuchs that were made that way by the hands of men - that is, were emasculated (castrated)
- "Eunuchs" that "live like eunuchs" (BSB) - that is have taken a personal vow of celibacy, ie, have decided to live a single life without being married.
Note carefully what Jesus actually said in V11 and 12, "Not everyone can accept this word,” ... "The one who can accept this should accept it.”
Observe that Jesus says quite clearly that not everyone can accept this and He does not require this of everyone. Many of the disciples were married such as Peter, Apollos and others and functioned quite will as married men.
Paul says the same thing in 1 Cor 7:25-28 -
25 Now about virgins, I have no command from the Lord, but I give a judgment as one who by the Lord’s mercy is trustworthy. 26
Because of the present crisis, I think it is good for a man to remain
as he is. 27 Are you committed to a wife? Do not seek to be
released. Are you free of commitment? Do not look for a wife. 28
But if you do marry, you have not sinned. And if a virgin marries, she
has not sinned. But those who marry will face troubles in this life,
and I want to spare you this.