AFAIK the order of that list is not customizable... IIRC it is listed in the order created. You MIGHT be able to find and edit the list via the REG but I don't think it's that big of an issue to warrant messing in there REG personally.
MIght suggest a macro that provides a custom UI for properties entry... see screenshot attached
As @Johnson_BigMatt said that's not controllable being a Windows feature. I almost never use that properties dialog except to delete properties. Generally I use Property Manager to edit properties in SE. Columns there are sortable.
@Dazzie, Good. You can also add properties in Prop Man in case you don't notice. Right click a column header, select show properties. Can't delete props though.
With the inventor software I think its within the parts list parameters/properties.
It is something that maybe isn't available withing Solid Edge.
I will just have to have an extensive library of standard parts.