You can either crash and settle, or pitch at high krausen. What you don't want to do is keep it warm after the yeast have done their job on the starter. That just tires the out.
If you cold crash then the yeast will have a chance to build up their glycogen reserves and if your plans change it allows you the option to keep the starter without consequences.
So to anwer your question, yes cold crash now and you'll be good to go.