You can't plan on availability of any North American motel-style self-service machines. But the staff should be able to bring you up a complementary bucket of ice from the kitchen, which should be safe to drink. The perfectly made little cubes or cylinders are usually fine as they are made in a machine using separate potable water supply, not tap water. Feel free to trouble them once or twice a day if you need it--one of the nice things about Asia is lots of staff around to do stuff for you. :-)