This last chapter is like the question of the Snake and the Little Prince.
I think that it’s more likely the professor died in the last chapter 32 or stayed alive. In 16 and 17, we see him preparing the letter and getting sick, but he still coughs up blood afterwards (32, in the sink, as well).
Moreover, in 32, she says she wants to bury him w/ his parents at the view.
33, we see that kindve glitch with his legs. And, they don’t have a panel showing him getting food for the trip. But, that could still be a mistake on drawing, so he could be alive.