So you have Howe, Jagr, Ovi, Hull, and Richard
Howe: He's not catching him so lets move on to the other guys.
Jagr: Had a higher peak and freakish longevity. Only way Kuch catches him is by staying at his peak another 2-3 years and plateauing at a very high level (maintaining his prime into his mid 30s and being a top 5 winger in his late 30s) with some more great playoff performances. Don't know if he has that in him but I guess it's not impossible. .
Ovi: Higher peak and an insane 2nd prime with the goals record in sight. Kucherov needs to do everything necessary to pass Jagr basically.
Hull: Higher peak but a shorter career. See the two above, maybe not to the same degree but yeah.
Richard: Isnane playoff resume, a shitload of 1st and 2nd AST finishes and aged very well in his older years. Kucherov has a better peak IMO so as long as he ages really well and can put together some more elite playoff runs, he'll be in the conversation.
So he does have a shot, but nothing is certain and age affects certain players more than others. I think his game will age really well but who knows.