Can I use RLE with an existing link?

Is it possible to use rules linkevent with an existing link?

In my case I have a search block on the frontpage. At this moment I change the search url-string, redirecting it to the contenttype search page (search api, solr) with the rule event 'Drupal is initializing'. This works ok. Disadvantage is: it triggers on almost all pages (it is difficult to create exclude conditions).
I only need the trigger: 'clicked on the search button/link'.

Can I create a link in RLE, witch is equal to the existing search link?

It is I live site, I have no solr development environment to make a test, maybe somebody has the answer?.