Of course not. Don't be silly
Jay is waaaaaay past the "I gotta prove I can out rap you nikkas" stage. That was 15 years ago. Joey is still making a name for himself so he has no option, he can't slack on any songs. He's rappping for his respect and his life
Jay is a legend, and considered the GOAT. He don't rap to prove anything to anybody anymore.
Compare Jay-Z's very first tracks, like this
Jay-Z - I Can't Get Wit That [1994 Rare & Unreleased] *DVD* - YouTube
With Joey Bada$$...
Joey Bada$$ - Waves (Official Video) - YouTube
That's all I'm saying, compare flow to flow. Joey Bada$$ consistently demonstrates more sophisticated and detailed wordplay. Different styles, but when it comes to actual MC criteria, Joey Bada$$ edges Jay-Z out.

So at this point in time do you believe Jay-Z is spitting better than Joey Bada$$ RIGHT NOW?
Keep it 110% honest. Skip the "Jay-Z doesn't need to try anymore. He's already greatest" and the "Joey has to try hard" stuff. Yes or no.
No.
If you put them on a track and told them spit their best verses, Jay would brutalize that nikka.
And I'm a big Joey fan.
No.
If you put them on a track and told them spit their best verses, Jay would brutalize that nikka.
And I'm a big Joey fan.
I don't like when people throw "and I'm a _____ fan" after shytting on the rapper. nikkas thinking that adds credence to the criticism...like it eliminates their intense biases lol. Like c'mon nikka. You're a Jay-Z stan and that overrides whatever lesser adoration you have for Joey.
To me Joey was spitting better on 1999 than Jay was spitting on MCHG, but whateva. I haven't heard a verse from Jay that has hit me harder than Joey's on "Hardknock" in a long time personally.
It isn't blasphemous to say Joey is spitting better than Jay right now. ALL TIME? No, but now? Yeah..I'd give it to Joey.