Integration with Zoho BugTracker and JIRA

Integration with Zoho BugTracker and JIRA

Hi.
Is it possible to integrate Desk with both, JIRA and Zoho BugTracker?
We need JIRA integration to add issues related to tickets to our development department (they work on JIRA mainly) but from the other hand we would like to use integration with BugTracker for other departements (they work on Zoho Projects and Sprints): 
Is that something 

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