Hi Kathleen and welcome to the Atlassian Community!
Currently this is not possible natively. There is a suggestion open wtth Atlassian you can vote on:
https://jira.atlassian.com/browse/JSDCLOUD-7998
There is however an app called Refined for JSM, with which you can completely cahnged the styling of you JSM portal, including omitting these recently used Request Types:
https://www.refined.com/products/sites-for-jsm
Jeroen
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