Hi Matt,
I know this isn’t the first-hand knowledge you were probably hoping for, but I would guess there is most likely not water at Fish Creek Camp, but there would be water about .25-5 miles or so past the camp as that is generally pretty reliable.
On the water sources page of this website, I saw this note about the upper water source:
Fish Creek Camp: Stream crosses trail .5 miles up from camp. 6/13/2021: stream is flowing well.