I think you very much can have karate without kata, however it is a core component.Perhaps... uhmmm... boxing or MT?
Kata cannot be separated from the Karate style; otherwise, it would not be Karate; Kyokushin practices Kata as much as sparring.
Over the last few years I’ve tried having discussions in various places as to how much can be removed from the common 3K karate format of teaching and training, and still have it reasonably be called karate?
Is kata 100% required? Is kihon? Are gis? How about multi level belt rankings? Using Japanese terminology? Using Japanese traditions? Etc.