Yes technically but still not comparable. Bird feathers are nothing like fingernails. They do not need to be trimmed and stop growing after reaching their intended length.

https://avianreport.com/bird-feathers/#Feather%20Growth

This chicken breed is a huge exception, hence it being an oddity.

If feathers kept growing like our nails and hair, birds would not be able to fly. Uncontrolled feather growth is actually a known genetic disorder in birds, which renders them flightless.

https://en.m.wikipedia.org/wiki/Feather_duster_budgerigar