Yes. Version 1.6 added the ability to visit a random Dream Island — simply choose the Surprise me option when talking to Luna and you'll be playing Animal Crossing Dream Island roulette in no time.
You can add your own island to the Surprise sharing database by talking to Luna, too, which will enable other people to randomly visit your island when they dream.
You can also choose to quickly return to one of the 50 last Dream Addresses you've visited via a the Revisit a dream option that comes up while talking to Luna.