You bet! Doesn't that make you want to throw up in your mouth just a little bit? To make myself feel better I have a Storm Proof cover that goes on the car. I wash it, put the cover on, even if it rains a lot, I take the cover off and it looks just as good as when I put the cover on.
I just don't feel comfortable leaving it jacked up outside but if I'm quick, and it's nice out, I'm sure cleaning one wheel at a time will work fine. Some sun, some suds, some music and claying/polishing/waxing should be fun. I want those barrels to shine!