I'm not an expert, but I've kept a couple scobys in the fridge without problems. Then again, they've only been in there for a few days.
Also, I keep my kombucha that I'm drinking in the fridge, and if I don't drink it within a few days, it starts to develop a new one. And that's without a scoby in it, just free floating yeast and bacteria. I think you'll be ok.