Yes (don't shoot yet...please...)
Government is about 'how we interact with one another.' Does that mean it should be our tax dollars? Not necessarily (see, don't shoot). My church does an excellent job of running a food bank. It serves from 100 to 200 families monthly. Most of these are working families in a poor town next to Tacoma called Parkland. The foodbank helps them by diverting some of their funds so they can pay mortgage or rent. Due to recent hard times, more and more working families are in need of the ministry/service.
And here is the part where government helps. They provide funds for the food bank's operation expenses including electricity, food, maintenance etc. In turn, the foodbank provides dinner for public meetings in schools, firehouses, ball parks, and other government functions. It is a good working relationship that provides for the needs of the community. In addition, those stores donating get tax breaks from the government as incentive toward the help. Perhaps the OP question was talking more about welfare, but I took it in a much broader sense to answer in the affirmative, that yes, as servants of the public, government needs to ensure that the public needs are met.