If they had the motivation, yes. However, why would the have the motivation instead of simply using well-known limited physical currencies, such as cigarettes,

If they had the motivation, yes. However, why would the have the motivation instead of simply using well-known limited physical currencies, such as cigarettes, gold etc? Especially since you'd need to make the money using power and if power is sparse, you'd probably need the bit you get for refrigeration or cooking.