We say to him: No.
His statement, “Then everything becomes lawful for him,” apparently indicates that this release does not take place until after stoning, sacrifice, and shaving or shortening the hair—that is, after performing all three. It appears, however, that making the sacrifice a condition is not intended, and that the first stage of release is attained without it. The wisdom behind this—and Allah knows best—is that sacrifice is not obligatory upon every pilgrim: it is not required of one performing an independent Hajj, nor of one combining Hajj and Umrah or performing tamattuʿ Hajj if they cannot find a sacrificial animal. His wording also apparently indicates that release is not attained merely by stoning. There is, however, a difference of opinion among the scholars on this issue.
Some scholars held that release is attained by stoning—that is, stoning Jamrat al-Aqabah—whether one has shaved or not. This is one narration from Imam Ahmad.
They cited as evidence the fact that a person stops reciting the talbiyah once he begins the stoning, which indicates that his pilgrimage rites have ended. However, this reasoning is open to question, for we may say that one performing Umrah stops reciting the talbiyah once he begins tawaf, yet he has not thereby begun the process of release from consecration. They also cited reports from the Prophet, peace and blessings be upon him, in which release is made contingent upon stoning alone. (1)