Usually not. School funding is not allocated at the "neighborhood" level but instead the county level. There is almost no difference between per student funding between the richest and poorest counties: http://hechingerreport.org/the-gap-between-rich-and-poor-sch... ("I keep specifying 'state' and 'local' funding because the picture gets more complicated when you factor in federal funding. Once you do, almost all of the funding gaps disappear.").
You can argue that poorer students should get more funding than richer ones to help equalize other gaps. I'm not sure I agree with that. Most of that money would go to middle class teachers and administrators. I bet those kids would be better off if you just wrote them a check (or put the money in a trust fund that would then pay them an extra couple of hundred dollars every month for the rest of their lives).