Yes. You will need Space Admin privileges, then you will see the Manage Watchers link when you click on the watchers button.
You will need space admin explicitly checked off in the space (either by group or individually) even if you're a confluence admin.
https://confluence.atlassian.com/confcloud/manage-watchers-724765356.html
Welcome!
Yes, you may click on the eye icon and then "manage watchers" as described in:
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