Is your feature request related to a problem? Please describe.
As @DanTup told me on Discord, I do agree with the following:

It's annoying to have a repro but already have the session running and have to hope you can repro after restarting.

Describe the solution you'd like

Supporting enabling the VM Service traffic when the session is already running.

Describe alternatives you've considered
Having the Dart: Capture Debugging Logs command running at all times.

Additional context
None.