All raw untreated water isn't the same, so it's not possible to answer that question with a yes or no. The mineral content of water varies widely, depending on the specific source of that water and the local geological conditions. Whether treatment is needed depends on whether this is once-through water or a closed loop cooling system, and the chemical analysis of the water source. The pH and the mineral content are the main details to know, and to manage.
If it's a closed loop system like a cooling tower, then it's always necessary to actively monitor the water chemistry and to treat it with additives. If it's once-through water, then the need for treatment entirely depends on the chemical analysis of the source water.
Regardless of whether it's once-through water or a closed loop system, you need to prevent the temperature rise from getting too high (above ~120F). Otherwise calcium carbonate will precipitate out of solution and build up on the internal surfaces. Exchangers need to be designed to ensure that the cooling side outlet temperature doesn't get too hot and necessitate frequent outages for cleaning.