Hello there!
We presume that you are referring to the built-in 'Reboot' asset action that you can see on an asset's web page under the Basic Actions. While you can indeed grant users access to the 'View and Use Basic Actions' permission so that they can see and use the 'Reboot' asset action, do keep in mind that they will be able to see and use it on ALL assets, and not just their computer.
More information on how to manage user roles and permissions can be found here: https://www.lansweeper.com/knowledgebase/restricting-access-to-the-web-console/
Wondering what the roles and permissions entail? This can be found here: https://www.lansweeper.com/knowledgebase/web-console-user-roles/