Not at the nationally owned chain grocery store, but at local establishments it’s certainly an issue and prices out longtime residents who don’t work in this industry.
Rent prices push everything up in the local market. Housing rents impact business rents in an area, as well as what the business’ owners and employees need to maintain their own lifestyles. People who live there now can pay more and will, so prices go up. But the local shop owner isn’t getting rich, they’re still struggling as everything around them rises.