Hi @Anonymous,
No, at least currently I don't think this is possible.
Microsoft Flow use connections to access the corresponding Data with different services, for VSTS, if we would like to access the user data, we would need the correesponding user credentials.
Or saying in this way, the account used to query the data should have been given the proper access permission, and should be in the same organization when using the Get Data Action.
For different clients with different organization, we need add one action individually for it.
Connections in Microsoft Flow
Hope the information above is helpful.
Regards,
Michael