Ibn 'Abbas (May Allah be pleased with them) reported:
A woman came to the Messenger of Allah ﷺ and said, "Allah's obligation upon His slaves has become obligatory on my father in his old age. My father is very old and incapable of riding. May I perform Hajj on his behalf?" He ﷺ said, "Yes."

[Al-Bukhari and Muslim].

وعنه أن امرأة قالت: يا رسول الله إن فريضة الله على عباده في الحج، أدركت أبي شيخًا كبيرًا، لا يثبت على الراحلة، أفأحج عنه؟ قال: "نعم". ((متفق عليه))