Yes - water and ice served at restaurants is purified. You will have bottles in your room and they will serve bottled water at the bars.
Water from the tap is fine on the resort. I brush my teeth with it and drink it all the time. Never an issue.
I do remember seeing them roll in and use bagged/purified ice. Never been sick even with water drank from faucet. Not concerned.
If I need ice I just go to the nearest bar and get it from a bartender. They are always accommodating.