Search Component Action with No Results?

I feel like this would have been asked before but cannot find it.

Is there way of tying an action to the Search Component if there are “no results” found? When using a model I’d just say if Model was empty but don’t see same using the Search component.

I’m thinking of something like rendering a button if the search was empty so user could create a new record, but only showing it in that case.

Pretty the option doesn’t exist but I do like the idea for sure.