Nevada did this to California a couple years ago actually [0][1]. That said, a number of major em cities such as New York do offer homeless people the choice to accept a lump sum and a ticket to the city of their choice IN RETURN for them being ineligible to homeless services in the source city [2][3].
[0] - https://www.reuters.com/article/us-usa-mental-patients/san-f...
[1] - https://www.reuters.com/article/us-usa-patients-dumping/neva...
[2] - https://www.wsj.com/articles/new-york-city-sued-over-program...