No. Atlassian dropped support for IE8 a while ago, when it became clear that it was not going to be supported by Microsoft.
Your organisation MUST move to a later version of IE soon, as MS will no longer support IE8, let alone Atlassian. I'd aim for IE11, or better yet, a proper browser, as that will give you a bit more future-proofing.
You can find more details on which browsers and platforms are supported by each version of JIRA in the page below:
As Nic suggested, the best option is to upgrade to the latest version of IE, since the IE8 support will be ended soon.
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