Normal, regular chess engines are sometimes called AI. Or at least they were back in 1997. And people have certainly made themed variants of these chess engines, which purport to simulate certain famous chess players.
The bots are tuned differently to be a bit more tactical or more positional, and they have an opening book that follows the preference of the chosen player.
Right now you can visit https://www.chess.com/play/computer and play a Hikaru-themed chess engine - or a MrBeast-themed chess engine.
I don't know how deep the simulation goes, though - they might all just be the same engine with a different difficulty setting and a different icon.