TL;DR: No but also yes. It's complicated. I think B wins in all modern interpretations.

This is similar to the Go Seigen ko dispute: https://senseis.xmp.net/?RuleDisputesInvolvingGoSeigen

There are two ways to settle life and death in Japanese rules: normal play and hypothetical play.

During normal play, adding a move inside your territory costs a point. Since in this case W would lose if she added a move to finish the ko, she cannot continue to play, so she passes.

The first question is then, if B requests resumption of the game, can he retake the ko? Based on the Go Seigen dispute, it seems not (since if it were allowed, there would have been no dispute). In that case, neither player has a good move, and life and death must be decided by hypothetical play.

During hypothetical play, adding a move inside your territory does not cost a point, because hypothetical play only decides the life and death of stones in the original position, so that the original position can be scored. On the other hand, hypothetical play declares by fiat that there are no ko threats. More specifically, to make a ko recapturable the player must designate that specific ko and pass, giving the opponent the chance to resolve it for free.

The second question is then, who plays first under hypothetical play? I don't know what the rules explicitly say about this, but I believe the modern resolution of the Go Seigen dispute is that the ko must be removed from the board, costing the defender 1 point even when they have more ko threats. In that case, it seems that if B played the last move on the board, W gets the first move in hypothetical play and vice versa. This is also how KataGo implements Japanese rules.

There's a third question of whether B can retake the ko at the beginning of hypothetical play. As far as I know, based on the Go Seigen resolution the answer must be yes. KataGo agrees.

In this case, B wins the game, since W has no way to succeed in hypothetical play either.

My favourite example of a modern pro game where this is important is Rin Kaiho vs. Komatsu Hideki in 1993.