Parameter order for a script tool

DavidMartin

This help page (http://resources.arcgis.com/en/help/main/10.2/index.html#//002t00000011000000) says:

A tool dialog box has the capability to show parameters in a different order than the actual parameter order, so in rare cases, the order of the parameters in the tool's dialog box may be different than the order in the parameter table. For Python, always use the order as shown in the parameter table.

An example of where this is found is the Convert Coordinate Notation tool.

Is there a means by which this can be achieved for a Script Tool (i.e. having a parameter order in the dialog box that is different from the order in the script)?