From Fallen London Wiki

They do exist actually. Luck checks for one are uniformly distributed. The other category is checks that are impossible to fail, for example, moving between nearby Stations with Banditry 0. The skills are still "checked" here because the results train your skills in the usual way, but there's a difference between "trivially easy to pass" and "actually impossible to fail". See the below screenshot I took with my Weasel of Woe to demonstrate; traveling to Station VIII is actually impossible to fail even at Dangerous 0, but traveling to Moulin is merely guaranteed with endgame stats and can be failed with a Woesel

<a href="/wiki/File:Checkless_check_demonstration.png" class="image"><img alt="Checkless check demonstration.png" src="/w/images/8/81/Checkless_check_demonstration.png" decoding="async" width="996" height="1307" /></a>