Hi Matt,
If you are looking to not receive incidents for a specific schedule, then you can set up time restrictions for on-call shifts. You can read more about restricting on-call shift times on this knowledge base article. Essentially, if nobody is on-call when an event is sent to the Services’ integration, then the incident won’t trigger and will be dropped.
Alternatively, if your account has a Standard or above subscription plan, you can enable urgencies and use Support Hours to create Low urgency incidents during the Support Hours, and to create High urgency incidents after Support Hours. The on-call user will be notified via their High or Low urgencies rules, depending on their individual setting and the incident urgency. You can read further about Support Hours on this knowledge base article.
I hope this helps; but let me know if you have any further questions!
Cheers,
Jay