Yes, you can stratify now. Some will germinate without a cold period but there's no way of knowing ahead of time. Since there's only one precious seed I would plant it in whatever you want to start growing it in (not too deep, about twice the depth of the seed is about right), then enclose the pot in a plastic bag and put the whole thing in the fridge for around a month. The media you use, vermiculite, perlite, seed starting mix or whatever, should be only as damp as you would make it for normally planting seeds, it should not be wet.
Then all you have to do is remove the pot from the fridge when the chilling time is up and wait for the seedling to appear. Then you can post a picture of it for us!