Can't hurt, but you probably won't get as good an outcome as if you could cold crash in a fridge at say 2 degrees - not only is it colder but you'll be consistently at that temperature for as long as you need. Once it "warms" up tomorrow your beer will also warm up.
None of this will hurt and it'll at least cause some material to drop out, which is better than keeping it at room temperature.
Basically, give it a go.