No it doesn't, also there isn't a sun terrace either. However you are minutes from the sea, and the hotel provides beach towels, beach bags and parasols. There are a number of hotels in Sitges that do have pools.
“They have rooms with balconies, we didn't have one but they seemed like they were in the back of the hotel. If you are worried about noise level (which if you stay at Parrots I'm sure you will be out at the surrounding bars during the night) request one of those rooms. Or something not in the front. We had the third floor and were in the middle of the floor, so we didn't hear anything.”