Indeed. We love our pets and we do our best for them, but we can't do anything at all if we're dead.
I've seen people talk about training their betta to accept the cup by putting the pellets inside the cup at feeding time. That might make things easier for you, given a few days time. It took one feeding for my boys to figure out food came from the eyedropper. They learn quick.
Huh, sudden thought - and I have no idea
whether this is even relevant, since I don't live in tornado country - do you have a ground safe? You can't put a bird in one of those, but you can sure put a betta housed in a cup, and it'd probably be safer than a hallway. Wouldn't work for a fast emergency, but if you got the seek shelter warning and had enough time, you could probably do that.