No, the radiator does not need to be removed. Here are the directions to replace the water pump ok.
Water Pump Replacement (4.3L) Removal Procedure
Notice: Use the correct fastener in the correct location. Replacement fasteners must be the correct part number for that application. Fasteners requiring replacement or fasteners requiring the use of thread locking compound or sealant are identified in the service procedure. Do not use paints, lubricants, or corrosion inhibitors on fasteners or fastener joint surfaces unless specified. These coatings affect fastener torque and joint clamping force and may damage the fastener. Use the correct tightening sequence and specifications when installing fasteners in order to avoid damage to parts and systems.
Tighten Tighten the attaching bolts to 41 N·m (30 lb ft).
Tighten Tighten the clamp to 2.5 N·m (22 lb in).