Praise be to Allah, and may peace and blessings be upon the Messenger of Allah.
Angels, peace be upon them, can take human form, allowing people to see them in that appearance. However, seeing angels in their true form, as Allah created them, has not been established as possible for anyone from this Ummah except the Prophet ﷺ.
Likewise, there is nothing in the Islamic texts that prevents the jinn from seeing angels. In fact, there is evidence indicating that this has occurred. Iblis saw the angels on the day of Badr and fled, as Allah the Almighty says:
“And [remember] when Satan made their deeds pleasing to them and said, ‘No one can overcome you today among the people, and indeed, I am your protector.’ But when the two armies sighted each other, he turned on his heels and said, ‘Indeed, I am disassociated from you. Indeed, I see what you do not see; indeed, I fear Allah. And Allah is severe in punishment.’” [Al-Anfal: 48]
The commentators on the Quran have mentioned that Iblis saw the angels on the day of Badr, including Jibril (Gabriel), peace be upon him. He realized that the angels had come to support the believers, so he and his soldiers fled.
This was a vision of punishment and threat, just as disbelievers see the angels at the time of death and on the Day of Resurrection. Allah the Almighty says:
“The Day they see the angels, no good tidings will there be that day for the criminals.” [Al-Furqan: 22]
As for the believers, the angels descend upon them with glad tidings and reassurance, as Allah says:
“Indeed, those who have said, ‘Our Lord is Allah’ and then remained steadfast—the angels will descend upon them, [saying], ‘Do not fear and do not grieve, but receive good tidings of Paradise, which you were promised.’” [Fussilat: 30]
Conclusion: We know of no Islamic evidence that prevents the jinn from seeing angels. Rather, there is evidence indicating that this has occurred, as happened to Iblis on the day of Badr.
A Muslim should focus on beneficial knowledge and what they need to know for their religion, and should avoid pursuing unnecessary details of the unseen when knowing them leads to no action or benefit.
And Allah knows best.