Not really. but ok...
Direct definition of celibacy is the state of abstaining from marriage and sexual relations. It doesn't mention whether you "want to or not."
However from a religious standpoint, from 1st Cor 7, Paul clearly stated some men simply do not have this sexual urge. If he does, he should get married to put this sexual urge out. In accordance to Paul in 1st Cor 7, he calls celibacy a gift, the lacking of sexual desire.
That's straight out of the text. Now the only people who disagree are Catholics, who don't really follow the text anyways even though their whole religion is based on the foundation of Sola Scriptura. This is why Martin Luther quoted, "I will not bow to the authority of the church unless they first bow to the authority of Scripture."
Yes, Catholics practice of priestly celibacy is unscriptural and heretical in accordance to God's mandate on marriage and sexuality. This was a corruption in their belief that stemmed back to Augustine, who had a negative bias view on sexuality and marriage from his personal experience of being forced to cast away his common law wife for decades b/c his family wanted him to marry a woman of noble stature. He ended up celibate and very anti-marriage.
So both in the religious sense where the word derived from in the secular usage, celibacy means nonsexual, without sexual urges... aka - asexual.