We are able to accomplish this task in DC with banners, but Cloud doesn't seem to have this functionality at all. Is there a way we can do this?
Hello @Power, Grant
Welcome to the Atlassian community.
Do you mean you want to limit the types of links that can be selected (i.e. relates to, duplicates) that can selected when creating a link between one issue and another?
If so, the answer is no, that cannot be done currently in the Jira Cloud environment with native functionality. There is a change request about it:
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