Yes, you can. Jira won't care about the trigger, as long as it can read/write the tables as normal.
If you upgrade Jira, you'll need to check and possibly update the trigger.
Although I've just said it's ok to do this, one word of warning about the Jira database - you must NOT write to it. If, as you say, your trigger is going to update things in another database, that's fine, but not the Jira database (or another server's Jira database for that matter)
To answer “How scrum works,” most of the teams I've worked with first addressed the question: “where to start?” That question applies to both implementation and improvements on the Scrum framew...
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