Si,
Yes you can, apply a template stored in the field of another tiddler? and/or find a workaround.
Keep in mind the double curly braces are in face a short hand version of using the transclude widget.
Because you are referencing the current tiddler using the !!title you should be able to do this;
<$tiddler tiddler="Tiddler to link to">
<$transclude tiddler="MyTemplate" field="template"/>
</$tiddler>
<$transclude tiddler="MyTemplate" field="template"/> works on the current tiddler.
Since there are a few combinations of this it would take time to give an exhastive answer, so please try this first.
Tones