Could you please confirm if is just one single issue or all issues that belongs to a specific project that are sending the activity to the hip chat room?
The documentation below might help you on this case:
On that case you should open the issue in JIRA and disable the Hip-Chat discussion for this issue. Pelase refer the url below. https://confluence.atlassian.com/display/JIRA/Configuring+JIRA+with+HipChat#ConfiguringJIRAwithHipChat-Discussissuesinrooms
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