No unfortunately you can not. There arent even any tricks that would allow you do to it, short of writing a bunch of custom JS in application.js or trying to develop your own module.
However there is an app that I develop called sideview_utils, and what it brings into the picture is about 8 custom modules that you can use instead of the core UI modules.
So when that app is installed locally, instead of using SearchSelectLister and StaticSelect you can use a Sideview module called Pulldown, and instead of using HiddenPostProcess you can just use a module called PostProcess. Likewise instead of HiddenSearch there's just a 'Search' module, and FieldSearch, ExtendedFieldSearch and TextInput can all be replaced with a simpler consistent module called TextField
And in that set of modules (about 8 in all), among other benefits:
a) you dont use intentions at all; $foo$ tokens can just be plugged directly into searches or practically anywhere else.
b) 'practically anywhere else' includes the searches specified by PostProcess modules.
So I would check out the sideview_utils app. It has many example views each with embedded documentation and examples. Granted I'm a little biased. 😃
http://splunkbase.splunk.com/apps/All/4.x/App/app:Sideview+Utils
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