Does a poor person have to do Qurbani?

[The ḥadīth collections] Abū Dā’ūd and Nisā’ī contain the narration of Sayyidunā ʿAbdullāh bin ʿAmrū that the Messenger of Allāh SallAllaho Alayhi wa Aalihi wa Sallam said:

“‘I have been ordered with regards the day of Aḍḥā, the Almighty has decreed that this day be made a day of ʿīd for this Ummah.’

One individual said – ‘Oh Messenger of Allāh SallAllaho Alayhi wa Sallam, if I possess no animal besides a loaned one, can I sacrifice it?’

The Messenger SallAllaho Alayhi wa Sallam replied – ‘No – but if you trim your hair, nails and moustache and shave your pubic hair, your sacrifice will be considered complete in the sight of Allāh.’”

Meaning, if someone is unable to perform uḍḥiyah, he can attain the thawāb of it regardless by performing these actions. [Bahār e Sharīʿat; Part 15; ‘Discussions pertaining to uḍḥiyah.’]

— Translated by Abu Hamid al Qadiri