Eh… It depends on how you apply the definition to modern times. As literally defined: yes. They are business owners and merchants.
However, realistically they are much, much closer to the proletariot as these people are also exploited by the Musks and Bezoses and there isn’t really much of a middle class anymore. On top of this they don’t hold any actual power politically which is an important part of being in the bourgeoisie.

This is how i understand it all, anyway. Feel free to correct me.