It seems it does, here is an excerpt from the conclusion of a new C. Kirabo Jackson paper on this question:
The recent quasi-experimental literature that relates school spending to student outcomes overwhelmingly support a causal relationship between increased school spending and student outcomes. All but one of the several multi-state studies find a strong link between spending and outcomes – indicating that money matters on average. Importantly, this is true across studies that use different data-sets, examine different time periods, rely on different sources of variation, and employ different statistical techniques. While one can poke holes in each individual study, the robustness of the patterns across a variety of settings is compelling evidence of a real positive causal relationship between increased school spending and student outcomes on average. However, an examination of single-state studies suggests that, on average, money matters, but that this is not always so in all settings or in all contexts.
To better understand why some studies find positive impacts while others do not, an examination of the few studies that are not positive is instructive. Three out of the seven papers that are not significant involve Title I spending, and three out of the seven involve capital spending. Given that 6 out of 7 of the studies that find no significant impact (86%) involve particular spending types may suggest that while overall budget increases may improve outcomes, increased funding tied to particular uses may not. In particular, the evidence is consistent with capital spending and Title I spending being less predictably effective than spending in general.