Very do-able if the season's first big storm doesn't hit first. With all the available lakes, Emigrant rewards wandering around. You might also look at Wire Lakes as a posssible destination (the southernmost is nicest). Note that all streams and most creeks will be dry as a bone until it starts raining, so don't count on access to running water.
I'd carefully check deer hunting season in that zone, as the area is heavily hunted. If it's on, bright clothing at all times and consider not hiking at dawn or dusk.
I've gotten myself sunburned in Emigrant in October and snowbound in September, so it can go either way. If the weather holds it's a great destination.