is it possible to get to Aurora Premium Outlets (Cleveland) without having a car?

It's a pretty average factory outlet mall.

This weekend, the Geauga Lake amusement park is still open. You could take the greater cleveland RTA bus (route 441) almost direct to Geauga Lake. Then you would be in Geauga County.

If you arranged it in advance, once you were in Geauga County, you could have the Geauga County transit people get you from Geauga Lake to Aurora outlets.

http://www.co.geauga.oh.us/departments/transit.htm

Look on the Aurora Premium Outlets web site to see the list of stores there. As I said, it's a pretty average factory outlet mall. I don't think it is worth the trip. Instead, go to Marshall's and TJ Maxx to get good name brand stuff at bargain prices.

Aurora is about 30-40 minutes outside of Cleveland. I've lived in the area my whole life and have never been to the outlets, nor does anyone I know really shop there. I'm not sure which stores are even there, but I'm sure you could google it. I would suggest the best way to get there would be a cab -- there's not really any other way to get there (which could be expensive)

I agree with Snow, that is the only way you'll be able to get out there without a car, unless you have cab fare.