Can a single person, a student or student do kurban?
The answer, okay and fine. Because the requirements for kurban do not necessarily have to be married or do not have to have children.
The conditions for people who do kurban are set by the scholars:
2- rich (moderately)
Sufficiency is meant to have property for sacrifice, more than what he needs on the day of Eid al-Adha, at night and during the three tasyriq days as well as the nights.
3- Has matured (adult) and sensible. (See Al Mawsu'ah Al Fiqhiyyah Al Kuwaitiyyah, 5: 79-80)
This means that if a student or a single student is well off, then he does not matter to sacrifice. In fact, there is no reason why he sacrifices in a way of debt as exemplified by Abu Hatim and suggested by Imam Ahmad in matters of aqiqah, although the law of sacrifice is sunnah according to most scholars.
Imam Shafi'i rahimahullah said,
لاَ أُرَخِّصُ فِي تَرْكِهَا لِمَنْ قَدَّرَ عَلَيْهَا
"I do not give relief to leave the sacrifice for those who are able to do it." (Ahkamul Udhiyah wal 'Aqiqah wat Tadzkiyah, p. 12). What he meant was that it was meant to leave the sacrifice for those who were able to do it.