I'm not very experienced, but I don't think so.
I've found most juice on supermarket shelves does not have preservatives; Old Orchard, Motts, etc. Alternatively use the frozen juice.
When I started looking a month ago I found most of the 'Fresh' juice had preservatives. I found some at Walmart that didn't (and they also had some that had sorbate too just to complicate things), and some at World Markets.
Any juice will do. The fresher does seem to be better.