Yes, there would still be poor people. I consider the words of Jesus Christ as the truth. He said in Matthew 26:11 "For ye have the poor always with you; but me ye have not always."
No matter how much money you give some people, there will be some who will misuse or gamble it all away, and there will be evil people who will steal and take from others. As long as humankind is in it's sinful state, there will always be some poor among us.
Jesus Christ knows the sinful state of humankind. He came to change the hearts of people, but allows us to have free will. Some will choose to continue in sin.
There will be no more poor when Jesus returns to rule and reign.