Geiger counters only detect radiation; they don't create it. Avoiding Geiger counters to escape radioactivity is as effective as avoiding thermometers during a heat wave.
Work Step by Step
Geiger counters are discussed on page 626. About 75-80 percent of our annual radiation dosage comes from natural sources, as the textbook says on pages 619-620. We ourselves are radioactive, from the potassium in our bodies, and from ingesting the radioactive Carbon-14 that is continuously being generated in the atmosphere. Your friend cannot escape radioactivity.