No, no, no.
You tell them when you are normally home, and that they can come get it then.
This is THEIR mistake, not yours, and you have gone over and above the call of duty already.
The intended recipient will be satisfied (or not) by Apple and UPS - don't worry about him.
It's their burden to recover the item, not your burden to take a day off.
There's some common sense advice.
Why would the OP even think of taking a day off, lose work and possibly lose money to fix a UPS mistake? That doesn't make any sense to me and I would never lose a day from work to sit at home and wait for the UPS to pick up a package that mistakenly got to me. You get it when I can and Im at home. End of story.
But judging by the thread starters comments its part of a continuous irrational behavior on his end.