Wa `alaykum As-Salamu waRahmatullahi wa Barakatuh.
In the Name of Allah, Most Gracious, Most Merciful.
All praise and thanks are due to Allah, and peace and blessings be upon His Messenger.
In this fatwa:
Answering your question, the General Iftaa’ Department in Jordan, states the following:
There are two situations in which it is permissible to authorize someone to perform Hajj (Major pilgrimage ) on behalf of another:
It is also permissible for a Muslim, an heir of the deceased or not, to perform Hajj on his behalf voluntarily .
Second: If a Muslim was inflicted with an incurable disease, or was too old to travel, and was financially capable to cover the expenses of Hajj, then he should authorize someone to perform it on his behalf, even with paying him a wage.
Almighty Allah knows best.