Raising minimum wage while leaving other wages untouched accomplishes that.
I don’t think that when considering the lives of the poor and the middle class/wealthy, that we should prioritize the needs of the middle class and wealthy. It seems clear that the needs of the poor are much greater, the suffering much more intense, and that some sacrifices by the rest of society to address those needs and reduce that suffering are the right thing to do.
Now whether it’s possible to raise minimum wage without all other wages and inflation rising in response is a different question. I do wonder what the effect of a minimum wage that tracked inflation would be?