Programatically create a flow (and connection) on behalf of a user

[colinrippeysqa]

I would like to know if it is possible to "create a flow on behalf of a user" and even "create a connection on behalf of a user".
My scenario is I want a set of users to each have their own flow that "could" use a connection to their own office 365 mailbox. The connection "could" be used as the flow trigger, or I'll create the flow to run on a scheduled basis and use the connection to look at the user's mailbox.
I want to fully automate the process of creating all the individual flows and connections.
I "think" I can create the flows on behalf of the user but I am not sure about creating the connections
(If I cannot create the connections on behalf of the user I will come up with another solution to interrogate the mailbox, probably using the Graph with delegated permissions)
In terms of reference for creating the flow I am looking at:
https://docs.microsoft.com/en-us/flow/web-api
This API lets me create a flow programatically, the next step is "can I do this on behalf of a user".
I can see that this next article suggests I can also execute operations against the CDS REST API on behalf of a user:
https://docs.microsoft.com/en-us/powerapps/developer/common-data-service/webapi/impersonate-another-...
But what i don't know is if I can use the impersonate capability to create a flow?
Are there any other powershell commandlets that could help me?

[Pstork1 · Accepted solution]

Without the user's ID and password you cannot impersonate them and create a Flow or Connection using their context.  Its simply not designed to work that way.

[colinrippeysqa]

Thanks for the response, I'll look elsewhere for a solution to my particular requirement.