Assuming that your admin has not turned off the permission, you can follow these instructions:
Note: Messages or files are not immediately removed from the view of people who have already joined the room. The next time they sign in, they will no longer see the message.
This is an excerpt from https://confluence.atlassian.com/hipchat/delete-messages-and-files-751698289.html. There are instructions on how to delete from 1:1 chats there also.
Hope it helps!
...from the beginning. We have built up a lot of content in HipChat, with it being a core tool in our distributed company model. While it is true that we didn’t need to move to Slack immediately, we felt it...
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