Question people usually ask like can God make a rock which he Himself can't move?
If God can do anything, can he kill all the poor?
Answer is simple, God can do anything but He DOES NOT do stupid or illogical or unjust things.
Consider some of the passages of the Bible about poor:
Matthew 5:3 Blessed
are the poor in spirit: for theirs is the kingdom of heaven.
Luke 4:18 The Spirit of the Lord
is upon me, because he hath anointed me to preach the gospel to the poor; he hath sent me to heal the brokenhearted, to preach deliverance to the captives, and recovering of sight to the blind, to set at liberty them that are bruised,
Galatians 2:10 Only
they would that we should remember the poor; the same which I also was forward to do.
So blessed is the poor in spirit that God cannot kill them and Jesus, the anointed must have to preach the gospel to the poor and Paul says we should remember the poor. Gopd can't because I do really agree with your explanation.