No it would not. The average productivity of a US worker might have increased by a certain amount, but not the productivity of the minimum wage earners. If their productivity had gone up that much, there would be no need for a minimum wage law, the employers would simply be glad to pay them based on their productivity.
Based on...? What employer do you know of that just willingly offers employees raises for no reason other than "you're producing more for the company so here's some free cash"? The only role I'm aware of at most companies that directly ties your output to your income is sales, and even that can be sketchy depending on where you work and how transparent they are with the financials.
Most publicly traded company's goals are to pay you as little as possible to retain you.