Yes, if you are at a temp the yeast will work in. But even in the 30's degree F temps of my garage, it doesn't slow it down much, and I think the enzymes not at all. I get a lot of conversion to liquid in the first 48 hours, and for the next few days after that, the rice is actually delicious. Very sweet like a rice pudding. After the first week though, the yeast has started going to town and eats up that sweetness in a hurry.
At whatever temps you make the rice wine, it takes a long time to finish completely. That's why many end up heating/sterilizing it. Even after a couple months you can have bottle bombs. After a couple weeks you can probably drink it after straining, but I just follow my Chinese friend's instruction. One month on the rice.. no more, no less. That's when I strain off the solids. But then I get it into a glass carboy and let it completely finish and clear on its own. I've tried to rush it and bottle it sooner, but ended up with some sediment in the bottom after a while. Reminds me of making mead... it just takes time and patience if you want it nice and clear without additives. If you're the type that doesn't mind your drink a bit cloudy, like a wheat beer, then it'll be ready for you way before that. A bit different flavors. Some have liked that better than the finished clear stuff. To each his/her own?
What I haven't tried since I make large batches of at least 10lbs rice, nearly filling a 7.5 gal brewing bucket, and I know I get changes in temps in the garage. Someone might try mixing a smaller batch, mix in the yeast balls, then store it in the fridge. See how if it works at a steady low temp? Some fridges only get into the low 40's and I think it would work perfect if the wife doesn't kick you out and you have some space for it.