I would say that'd be a Tailwind anti-pattern, since Tailwind exceeds by trying to do away with cascading, and BEM is an attempt to componentize CSS but retain some cascading.
Also, if you handed me a project with that approach, I would run for the hills! How would you decide when to use BEM styling and when to use the tailwind classes? It'd be a nightmare.
Use tailwind as much as possible until you feel like you need a class then use BEM for the naming/organisation. It's actually pretty practical system - with headwind the non TW classes sort to the front so you can immediately see if there is something more in css.
The resulting css you end up with is usually super light only with special things, edge cases, hover groups and stuff TW just doesn't handle.
If you ever use @apply,you need to come up with a name. I prefer a few @aplly classes to meaningless clutter of tailwind detailed styles.
You could of course have a policy to never refractor - but then you might need to enforce alphabetical use of tw classes to more easily keep styles in sync accross your codebase?