i play .11's in drop d and i left the strings off overnight because i took them off to swap out the pups and there was no harm done.
i used to be a mod, then i took an arrow in the knee.
Yah unless you leave for weeks im sure there wont be to much to worry about. How come you only have one sting on?
Carvin DC127+Custom Lacewood Build+Godin SD--->Traynor YCV50BLUE

My Build IT'S DONE!
When storing your guitar you're actually supposed to take the strings off it... so it's actually better that your guitar doesn't have strings.
2007 American Deluxe Strat
Crate Palomino V32 - 1x12
Boss DS-1
Crybaby Wah
Maxon OD-808
^Yeah but you also adjust the truss rod so theres no tension when you store it.
It should be ok for a few days.
The neck wasn't made with strings on it, so it shouldn't hurt it to sit without them either. Seriously, companies stock replacement necks in warehouses all the time. Why should it hurt the guitar to sit without them?

There won't be any damage to the neck without strings
Endorsed by Dean Guitars 07-10
2003 Gibson Flying V w/ Moon Inlay
2006 Fender All-American Partscaster
SVK ELP-C500 Custom

1964 Fender Vibro Champ
1989 Peavey VTM60

[thread="1166208"]Gibsons Historic Designs[/thread]
I stored my Ibanez AS103BM for a few weeks without strings and it's perfectly fine. It may take the guitar a day or so to adjust to having strings on it again, but it won't get damaged by leaving the strings off.