Apparently not: https://www.bostonfed.org/publications/public-policy-discuss...
"Merchant fees and reward programs generate an implicit monetary transfer to credit card users from non-card (or "cash" ) users because merchants generally do not set differential prices for card users to recoup the costs of fees and rewards. On average, each cash-using household pays $149 to card-using households and each card-using household receives $1,133 from cash users every year."