Unlikely, even if Jesus had existed.
https://en.wikipedia.org/wiki/Perm_(hairstyle)
Quote:1905
An early alternative method for curling hair that was suitable for use on people was invented in 1905 by German hairdresser Karl Nessler. He used a mixture of cow urine and water. The first public demonstration took place on 8 October 1905, but Nessler had been working on the idea since 1896.
https://en.wikipedia.org/wiki/Perm_(hairstyle)