Sure. But nominal price inflation doesn’t matter to the poor as a class, but to those on fixed nominal income (e.g., many retirees, or people dependent on benefit programs with fixed rather than indexed benefit levels.)
Real increases in prices of goods disproportionately in demand at lower income levels matters to the poor, but that’s a different issue than general inflation.
> And inflated housing prices makes it nearly impossible for future generations to ever own a home, depending on the city.
Real increase in housing prices (or, more to the point, increases in housing prices relstive to a particular poor persons income), which has nothing to do with currency debasement/devaluation or general inflation, makes homeownership less accessible.