In Christ's Own Words

Yes, it's true. Jesus Christ did say that taking care of the poor is like taking care of himself:

`Come, you who are blessed of My Father, inherit the kingdom prepared for you from the foundation of the world. For I was hungry, and you gave Me something to eat; I was thirsty, and you gave Me something to drink; I was a stranger, and you invited Me in; naked, and you clothed Me; I was sick, and you visited Me; I was in prison, and you came to Me.'

Then the righteous will answer Him, `Lord, when did we see You hungry, and feed You, or thirsty, and give You something to drink? And when did we see You a stranger, and invite You in, or naked, and clothe You? When did we see You sick, or in prison, and come to You?'

"The King will answer and say to them, `Truly I say to you, to the extent that you did it to one of these brothers of Mine, even the least of them, you did it to Me.'

Matthew 25:34-40