According to http://www.pewsocialtrends.org/2018/11/15/early-benchmarks-show-post-millennials-on-track-to-be-most-diverse-best-educated-generation-yet/
, 43% of 6-17 year old kids in 2018 live with a bachelor's degreed parent. In other words, 57% are potentially first generation to college, if they go to college.
But going to college is less common among such kids than it is for those living with a bachelor's degreed parent.
However, the current generation is attending college at a higher rate than past generations.