Does termination stay on some record and impact future employment?

Hello Taro Community, wondering if a performance based termination from an employer stays on some record which other future employers could access? Is there some employee blacklist that is shared between tech companies behind the scenes?

If someone is about to be terminated soon and already have a new job lined up (with offer accepted), should they go through the termination and accept severance pay (with some other benefits offered) and potentially being on some blacklist (if it exists)? Or should they resign themselves preventing termination from being on record but then forgoing the severance package and other benefits offered?