How Can I Play Bughouse On My Mobile Phone?(chess.com)

No. I don't see them adding it to the app, unless they limit it to larger tablets.
Right now, the only variant on the app is 960.

It's still cool if they release another version of the app only for bughouse and crazyhouse.
These variants are worth a release of their own.

First you go to “more”
next you click clubs
next you join a club that holds live events (Ex. live tournaments)
once you join a club go to the homepage of the club you joined
then you click upcoming events
click on one of the live events that shows up
Click on new game
you should know what to do from there if you’ve played bughouse on the browser

First you go to “more”
next you click clubs
next you join a club that holds live events (Ex. live tournaments)
once you join a club go to the homepage of the club you joined
then you click upcoming events
click on one of the live events that shows up
Click on new game
you should know what to do from there if you’ve played bughouse on the browser
That method is prone to being buggy and not supported for that use. It's better to just load a mobile browser instead.