no, and it's actually the other way round: if it's not recessive, in other words, dominant, it can be selected against very easily.
If a gene is recessive, it's very hard to get rid of unless you have genetic tests for it. (example: hens laying eggs with a fishy smell. That's a recessive gene defect affecting an enzyme, it's a simple Mendelian trait, and pretty much impossible to get rid of in a flock. I think they may have blood tests now).