Oh yeah, this does happen. And usually its harder on us hoomans than it is on the kitties.
Taz was locked out in the garage and in the spare room over night. He was also closed in a closet a few times (he was nosey just like Sparkle ). And Paizly was shut OUTSIDE over night last year (just a day after I lost my Taz).
Then Taz also slipped under the house through the crawl space when a cable tech and Bruce didn't close it up right away. Bruce had to go under with a storage container to get him out.
After all these incidents, they seemed to be just fine. Even Taz after the under the house episode. He was shut in a storage container and dragged across the rocky ground. When I opened the container I expected a freaked out cat. Instead he casually jumped out and sauntered around like he was KING!

I'm sure Tink will be fine. And I'm also sure this won't be the last time it happens. They are so quiet and can slip right by us without us noticing them at all. This is why I check for the cat(s) before we leave for the weekend. Taz was almost left outside (he snuck out the front door) all weekend. Luckily Zoee chased him back to the door.