Yes. Standards change over time. The acceptable level of poverty is not something morally objective, but rather dependent on the available technology/energy/capital.
But then you're back to the original question: is eradicating all poverty even possible?
A tech like AC is not available to everyone all at once. It starts out very expensive and gets cheaper over time. It may end up cheap enough that it can be ubiquitous, but before that point there must be a time that only most people can afford it.
If you then include it in the must-have category before the point of ubiquitousness, you will never get rid of poverty. Whereas if you include it after the point it's a pointless exercise, because everyone that wants one already has it.
Yes, to some degree we'll always be lifting the bottom line up as the top line rises. That said, we're not doing that now; right now we're still trying to get people fed and supply shelters.
If the "standard" for poor is changing over time, then the goal of eradicating poverty can never be achieved. For me, it has to be static: Basic shelter, food, health, and safety. It's a set of criteria that I believe most reasonable and non-idealistic people can agree on to be a universal starting point.
The fact that we're not providing the above basics universally to all citizens right now, as a matter of priority above all else, is a damning critique of government and one of the main reasons that set me down the path of anarcho-capitalist thought.