I want to try and speedrun yakuza 0 but my laptop cant handle any capture cards, this means (correct me if im wrong) I cant put livesplit over my runs.

Nope, LiveSplit isn't needed for Yakuza 0 runs. However if you want to use console streaming, do remember that finales in Yakuza games are usually blocked (on PlayStation anyways), which will possibly cause your run to be rejected.