Isn't this derived from conservation of momentum? As I understand it, that arises from a symmetry in spatial configuration: that physics behaves identically alo

Isn't this derived from conservation of momentum? As I understand it, that arises from a symmetry in spatial configuration: that physics behaves identically along shifts in position. I'm well beyond anything I'm familiar with, but it feels like these more fundamental relations should be where meaning of equations like F=ma arise. If momentum is conserved due to symmetry of position, then forces applied by a field are exactly what disrupt that symmetry and thus are exactly what invoke changes in the conserved quantity? I hope for explanations like that to bear more fruit because they arise from some pretty undeniable facts of reality: there aren't privileged positions in space except for how forces exist in some configuration, there aren't privileged moments in time except for how events occur along some timeline.