Yes. You have to remember you aren't electing Trump directly. You're voting for his electors.
If Trump dies before taking office, the party decides who will take his place.
It's most likely going to be Vance, but honestly it could be anyone.
Assuming that there isn't any fuckery (it's Republicans after all), then Vance becomes President and then nominates a VP that goes through the Senate approval process.
I can't remember the last time this was discussed but it was a while ago.
"I'll do it if you do it, Donny. Anytime. Anywhere."