Yes, but not in the cabin. There are laundry facilities.
SS Norway (12 times) '85 - '97; Radiance OS 06/01; Island Princess 11/04, Grand Princess 11/04/05, Golden Princess 7/21/06, Golden Princess 2/24/07, Explorer of the Seas 12/23/07, Island Princess 11/15/08
There are blow dryers in the rooms. We were on Deck 9 cabin 9118 and there was a laundry facility room across the hall with 3 washers/Dryers and 2 ironing boards and irons. We brought our own Tide , from Target for $1.00 and it worked out great.
Bring an outlet adaptor so that you'll have more plugs. We had a small extension cord too.