Has anyone ever had a client come a day late, when you are supposed to travel?

Hey guys! I know it is a bit risky, but I am visiting my sis and her new baby on March 2nd, and a client will be picking up their pup on March 1. Let's just say something happens and the client can't pick their pup up until the next day, during my flight, what would I do?

I know, I know. I didn't think this through. I'll give myself a two-day window next time. I mean, a brand-new nephew, my mind was all aflutter with excitement!