There are two narrations regarding this: one of them is that it is permitted. This is the view of Abu Hanifa, because it is a Hajj that is not binding upon him personally, so it is permitted for him to appoint a substitute for it, just like one who is chronically ill (al-ma'dub). The second is that it is not permitted. This is the school of al-Shafi'i, because he is capable of performing Hajj himself, so it is not permitted to appoint a substitute, just like in the obligatory Hajj.

Section: If he is incapacitated in a way that is expected to pass, such as being ill with an illness from which recovery is expected, or being imprisoned, it is permitted for him to appoint a substitute for it. This is because it is a Hajj that is not binding upon him, and he is incapacitated from performing it himself, so it is permitted for him to appoint a substitute, like the elderly person. The difference between this and the obligatory Hajj is that the obligatory Hajj is a lifetime act of worship, so it is not lost by delaying it beyond this year, whereas voluntary Hajj is legislated every year, so the Hajj of this year is lost by delaying it. Furthermore, the obligatory Hajj, if one dies before performing it, is performed after his death, whereas voluntary Hajj is not performed, so it is lost.

Section: There are two narrations regarding the hiring (of someone) for Hajj, the call to prayer (adhan), teaching the Quran and jurisprudence (fiqh), and similar tasks whose benefit extends beyond the actor and where it is specifically required that the actor be of those eligible to perform acts of piety (qurba): The first is that it is not permitted. This is the school of Abu Hanifa and Ishaq. The other is that it is permitted. This is the school of Malik, al-Shafi'i, and Ibn al-Mundhir, because the Prophet (peace be upon him) said: "The most deserving thing for which you take a wage is the Book of Allah." (Reported by al-Bukhari). The companions of the Prophet (peace be upon him) accepted a payment (ju'l) for reciting Ruqya with the Book of Allah, they informed the Prophet (peace be upon him) of that, and he approved them in doing so. And because it is permissible to take...