We bring food sometimes to the local homeless guy but he doesn't seem to want anything else.
This answer for me would really depend on a lot of factors. I don't want a homeless roommate who won't leave and can't work, don't want a mentally unstable person in the house with my daughters. So random guy probably not. I'd bring him food and a gallon of iced water and say I could not let him in. If it was the guy we know from under the bridge, and husband home, probably would let him shower and give him some of husband's clothes to wear, sure.
But we HAVE had homeless people stay with us for a time if we knew them, quite a few times. Wandering guys who just didn't live anywhere. Couch surfing people.