In order to match specific query string you have to use mod_rewrite. Please check if it is installed/allowed on your host. The rule in this case will be something like this:
# most likely be required for rewrite rules to function properly
Options +FollowSymLinks +SymLinksIfOwnerMatch
# Activate Rewrite Engine
RewriteEngine On
RewriteBase /
# actual rule
RewriteCond %{QUERY_STRING} ^action=this&id=1 [NC]
RewriteRule ^index\.php$ /index.php?action=this&id=2 [R=301,L]
This needs to be placed in .htaccess in website root folder. If placed anywhere else some small changes may be required.
This rule will only redirect /index.php?action=this&id=1 to /index.php?action=this&id=2 and no other URLs (just as you asked in your question).
Redirectdirective does not work with query string parameters -- only with path part (in your case it will beindex.php). Your only hope -- is to use mod_rewrite. Please check if it is present/enabled on your server - if yes, then I may help you here.