Maybe if you live in a cardboard box or in a shelter.
It has been shown, with actual numbers, that living on minimum wage is not only possible, but affords some luxuries and does not mean living in a cardboard box. It may mean sharing their apartment/house with a room mate or two, but that is hardly a cardboard box.
Is there any proof that those earning only minimum wage have done anything to earn more? I'm sure some have, but I don't see where the vast majority of them have. I have seen, several times, including myself, that those who start out at minimum wage, if they prove they are worth more, get raises and even better paying positions.
One of the best things we could do would be to do away with laws and unions that make companies keep undesirable and low/non-productive workers. Many companies are no longer directly hiring people into full time positions because of the cost of mandated benefits. Once full time, an employee is protected from being fired, unless they commit certain acts, such as theft, by laws and unions. Companies are forced to keep low/non-productive workers and that limits what they can offer to desired workers.
Under current law (at least in Texas), the only sure way to weed out undesirables is to hire part time at minimum wage or near it. This allows them to evaluate the worker before either getting rid of the, maintaining them at current level, or promoting/giving them a raise. If a worker under performs or has a bad attitude, their hours get cut until they quit. If they perform only at the minimum required level and their attitude, while not great, is also not a hindrance, then they are kept on at current levels. If they show good performance and attitude, they have the opportunity to move up when positions become available and can receive a raise to encourage them to stay until a position comes open.
I cannot say all companies, but most that I have ever seen in action, do value good employees. But, they are limited on what they can offer the good employee because they have to carry the burden of bad employees that they cannot rid themselves of very easily.
Of course, this only addresses one aspect of the picture, the loss of higher paying unskilled/low skilled jobs also plays a role.
Only when minimum wage no longer allows anything above base level subsistence should it be raised. That level should be reserved for Welfare. We are no where near minimum wage requiring a person to live at a bare minimum level.