I was wondering if it is possible to connect my nano to outdoor speakers.
What do you mean by "outdoor speakers"?
Do you want something you can carry around with you and take on a picnic? Try the iPod Hi-Fi in the Apple Store.
Or are you looking at hooking something up to your home stereo with waterproof speakers permamnetly outside?
Go here and get an idea of what there is.
http://www.outdoorspeakerdepot.com/