Not possible in a real world scenario, as those who value the Bitcoin less than a potential product or service would spend it. However, if through some impossible scenario whereby the market participants couldn't sell their Bitcoin, they may still value the Bitcoin as a collector's item.
Your scenario has no connection to reality as economising individuals would make their own decisions. However, I do believe your concern over the question reveals your belief of a necessity for intervention in the market. The is further evidenced by the title of your thread the other day "Use Bitcoin Cash"
