Hello aeteq,
For your question, the answer is: You can't stop, pause, or restart a Workflow Orchestration Manager instance from the Data Factory Studio.
Below is a feature request for this functionality, which is open for the user community to upvote and comment on. This allows product team to effectively prioritize your request against our existing feature backlog and gives insight into the potential impact of implementing the suggested feature.
https://feedback.azure.com/d365community/idea/fe77abaa-7bca-ee11-92bc-000d3a033659
I suggest you comment on and upvote the feature request. In the meantime, I will check with the Product Group to see if they have any plans for implementing this feature. I will update this thread once I hear back from them
I hope this answers your question. Please let me know if you have any further questions.
If this answers your question, please consider accepting the answer by hitting the Accept answer and up-vote as it helps the community look for answers to similar questions.