Yes chicken is bad if the chicken smells like eggs.
Raw Chicken should not have any bad smells to it and if it does then the chicken is bad and should be thrown out to avoid any illness.
When chicken begins to smell like eggs that means that the raw chicken has been infected with Salmonella.
Salmonella enterica infected chicken will release hydrogen sulfide gas which is a cause of the bad chicken smelling like the eggs.
That Salmonella can make you sick and could possibly kill you as well so if you have chicken that smells bad or smells like eggs then you should throw it out.
It's not worth getting sick over it.