Is there anything in the Bible about men having short hair?

Considering that we're looking at a Jewish society in Roman times, it's better to look at the Torah. And the answer is...complicated, of course. But the general consensus is that Jewish society felt that long hair was a bad thing for men.

https://torah.org/learning/men-with-long-hair/

However, most Christians cite Paul:

https://biblehub.com/1_corinthians/11-14.htm

Nevermind that Jesus was supposed to predate Paul. The real confusion comes from the Nazarite vows in which men don't cut their hair or bathe for a year before bathing shaving everything off as an act of devotion and renewal. Jesus was allegedly a Nazarene, meaning from the village of Nazareth, and somewhere in all the retellings the two got conflated. So Jesus was frequently depicted with long hair, and only in recent years have new paintings been commissioned showing him with short hair.