Yes- most can shoot fairly well. it's a requirement. This is from Army BCT
To graduate
Complete the end of cycle Army Physical Fitness Test with a minimum of 50 points in each event.
Safely handle, provide proper maintenance, zero and qualify with your individual weapon. All Soldiers will qualify using the M68 sighting device and participate in the weapons immersion program.*
As for Tammy- she was in combat zone She carried guns in the cockpit as did all pilots.