Hi Neil, generally this is not possible. Or rather it depends if your users are all in one workspace. Premium adds features to boards and the workspace that don't just affect single users. Here is what the Trello FAQ says:
A Trello user who is added as a member to a Workspace—either as a normal member or as a team admin—is considered a billable team member that is included in the cost of Trello Standard or Premium
So if you want premium, you need to subscrbe to it for the workspace you are in. And the pricing will be billed according of the number of users.
See here for Pricing https://trello.com/en/pricing
But I am not sure how you manage the domain. How do you manage the domain (so your organization)? Via an Atlassian Organization? See https://support.atlassian.com/organization-administration/docs/what-is-an-atlassian-organization/
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